What is the Least Common Multiple of 56605 and 56620?

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 56605 and 56620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56605 and 56620, than apply into the LCM equation.

GCF(56605,56620) = 5
LCM(56605,56620) = ( 56605 × 56620) / 5
LCM(56605,56620) = 3204975100 / 5
LCM(56605,56620) = 640995020

Least Common Multiple (LCM) of 56605 and 56620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56605 and 56620. First we will calculate the prime factors of 56605 and 56620.

Prime Factorization of 56605

Prime Factorization of 56620

Now multiplying the highest exponent prime factors to calculate the LCM of 56605 and 56620.

LCM(56605,56620) = 5¹ × 11321¹ × 2² × 19¹ × 149¹
LCM(56605,56620) = 640995020