GCF and LCM Calculator Logo

What is the Least Common Multiple of 55607 and 55625?

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 55607 and 55625 is 3093139375.

LCM(55607,55625) = 3093139375

LCM Calculator and
and

Least Common Multiple of 55607 and 55625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55607 and 55625, than apply into the LCM equation.

GCF(55607,55625) = 1
LCM(55607,55625) = ( 55607 × 55625) / 1
LCM(55607,55625) = 3093139375 / 1
LCM(55607,55625) = 3093139375

Least Common Multiple (LCM) of 55607 and 55625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55607 and 55625. First we will calculate the prime factors of 55607 and 55625.

Prime Factorization of 55607

Prime factors of 55607 are 17, 3271. Prime factorization of 55607 in exponential form is:

55607 = 171 × 32711

Prime Factorization of 55625

Prime factors of 55625 are 5, 89. Prime factorization of 55625 in exponential form is:

55625 = 54 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 55607 and 55625.

LCM(55607,55625) = 171 × 32711 × 54 × 891
LCM(55607,55625) = 3093139375