LCM for 1 and 100

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 1 and 100?

Answer

LCM of 1 and 100 is 100

(One hundred)

Finding LCM for 1 and 100 using GCF of these numbers

The first method to find LCM for numbers 1 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 1 and 100 is 1, so

LCM = (1 × 100) ÷ 1

LCM = 100 ÷ 1

LCM = 100

Finding LCM for 1 and 100 by Listing Multiples

The second method to find LCM for numbers 1 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102

Multiples of 100: 100, 200, 300

So the LCM for 1 and 100 is 100

Finding LCM for 1 and 100 by Prime Factorization

Another method to find LCM for numbers 1 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 1: 1 (exponent form: 11)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

11 × 22 × 52 = 100

Related Calculations

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 1 and 100? (The answer is: 100). Select the first number (e.g. '1') and the second number (e.g. '100'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
18585
18686
18787
18888
18989
19090
19191
19292
19393
19494
19595
19696
19797
19898
19999
1100100
1101101
1102102
1103103
1104104
1105105
1106106
1107107
1108108
1109109
1110110
1111111
1112112
1113113
1114114

FAQ

What's the Least Common Multiple (LCM) of 1 and 100?

LCM of 1 and 100 is 100

How to find the LCM of 1 and 100 using prime factorization?

To find the LCM of 1 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 100.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 1 and 100: LCM = 100, GCF = 1.

See Also