LCM for 7 and 105

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 7 and 105?

Answer

LCM of 7 and 105 is
105

(One hundred five)

Finding LCM for 7 and 105 using GCF of these numbers

The first method to find LCM for numbers 7 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 7 and 105 is 7, so

LCM = (7 × 105) ÷ 7

LCM = 735 ÷ 7

LCM = 105

Finding LCM for 7 and 105 by Listing Multiples

The second method to find LCM for numbers 7 and 105 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119

Multiples of 105: 105, 210, 315

So the LCM for 7 and 105 is 105

Finding LCM for 7 and 105 by Prime Factorization

Another method to find LCM for numbers 7 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 7: 7 (exponent form: 71)

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

71 × 31 × 51 = 105

Related Calculations

See Also

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 7 and 105? (The answer is: 105). Select the first number (e.g. '7') and the second number (e.g. '105'). 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
717119
718126
719133
720140
72121
722154
724168
725175
726182
727189
72828
730210
731217
734238
73535
739273
741287
743301
744308
745315
747329
748336
74949
750350
751357
755385
760420
76363
7100700
7105105

FAQ

What's the Least Common Multiple (LCM) of 7 and 105?

LCM of 7 and 105 is 105

How to find the LCM of 7 and 105 using prime factorization?

To find the LCM of 7 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 105.

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 7 and 105: LCM = 105, GCF = 7.

See Also