GCF and LCM Calculator Logo

What is the Least Common Multiple of 65622 and 65637?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65622 and 65637 is 1435743738.

LCM(65622,65637) = 1435743738

LCM Calculator and
and

Least Common Multiple of 65622 and 65637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65622 and 65637, than apply into the LCM equation.

GCF(65622,65637) = 3
LCM(65622,65637) = ( 65622 × 65637) / 3
LCM(65622,65637) = 4307231214 / 3
LCM(65622,65637) = 1435743738

Least Common Multiple (LCM) of 65622 and 65637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65622 and 65637. First we will calculate the prime factors of 65622 and 65637.

Prime Factorization of 65622

Prime factors of 65622 are 2, 3, 10937. Prime factorization of 65622 in exponential form is:

65622 = 21 × 31 × 109371

Prime Factorization of 65637

Prime factors of 65637 are 3, 11, 13, 17. Prime factorization of 65637 in exponential form is:

65637 = 33 × 111 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 65622 and 65637.

LCM(65622,65637) = 21 × 33 × 109371 × 111 × 131 × 171
LCM(65622,65637) = 1435743738