LCM for 36 and 900

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 36 and 900?

Answer

LCM of 36 and 900 is
900

First common multiples: 900; 1,800; 2,700; …

As a common denominator: multiply the top and bottom of x/36 by 25.

36 divides 900 (900 ÷ 36 = 25), so the LCM is the larger number itself.

36 = 22 × 32

900 = 22 × 32 × 52

Prime36900Highest power
2222222
3323232
5—5252

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 32 × 52 = 900

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
3627108
3628252
3640360
3642252
36431,548
3644396
3645180
3646828
3648144
36491,764
3651612
3652468
36531,908
3654108
3656504
36581,044
3660180
3663252
3664576
3680720
3681324
3684252
3690180
36100900
361121,008
36120360
361214,356
36144144
36162324
36900900

FAQ

What's the Least Common Multiple (LCM) of 36 and 900?

LCM of 36 and 900 is 900

How to find the LCM of 36 and 900 using prime factorization?

To find the LCM of 36 and 900, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 36 and 900: LCM = 900, GCF = 36.

See Also