What is the Least Common Multiple of 55640 and 55645?

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 of 55640 and 55645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55640 and 55645, than apply into the LCM equation.

GCF(55640,55645) = 5
LCM(55640,55645) = ( 55640 × 55645) / 5
LCM(55640,55645) = 3096087800 / 5
LCM(55640,55645) = 619217560

Least Common Multiple (LCM) of 55640 and 55645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55640 and 55645. First we will calculate the prime factors of 55640 and 55645.

Prime Factorization of 55640

Prime Factorization of 55645

Now multiplying the highest exponent prime factors to calculate the LCM of 55640 and 55645.

LCM(55640,55645) = 2³ × 5¹ × 13¹ × 107¹ × 31¹ × 359¹
LCM(55640,55645) = 619217560