LCM for 1 and 72

What's the Least Common Multiple (LCM) of 1 and 72?

Answer: LCM of 1 and 72 is 72

(Seventy-two)

Finding LCM for 1 and 72 using GCF's of these numbers

The first method to find LCM for numbers 1 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 1 and 72 is 1, so

LCM = (1 × 72) ÷ 1

LCM = 72 ÷ 1

LCM = 72

Finding LCM for 1 and 72 by Listing Multiples

The second method to find LCM for numbers 1 and 72 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528, 3600, 3672, 3744, 3816, 3888, 3960, 4032, 4104, 4176, 4248, 4320, 4392, 4464, 4536, 4608, 4680, 4752, 4824, 4896, 4968, 5040, 5112, 5184, 5256, 5328, [...], 72

So the LCM for 1 and 72 is 72

Finding LCM for 1 and 72 by Prime Factorization

Another method to find LCM for numbers 1 and 72 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 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

11 × 23 × 32 = 72

See Also

LCM Table

Number 1Number 2LCM
17272
27272
37272
47272
572360
67272
772504
87272
97272
1072360
1172792
1272
1372936
1472504
1572360
1672
17721224
1872
19721368
2072360
2172
2272792
23721656
2472
25721800
2672936
2772
2872504
29722088
3072360

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 72? (The answer is: 72). Select the first number (e.g. '1') and the second number (e.g. '72'). 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

FAQ

What's the Least Common Multiple (LCM) of 1 and 72?

LCM of 1 and 72 is 72