What is the Least Common Multiple of 56655 and 56665?

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 56655 and 56665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56655 and 56665, than apply into the LCM equation.

GCF(56655,56665) = 5
LCM(56655,56665) = ( 56655 × 56665) / 5
LCM(56655,56665) = 3210355575 / 5
LCM(56655,56665) = 642071115

Least Common Multiple (LCM) of 56655 and 56665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56655 and 56665. First we will calculate the prime factors of 56655 and 56665.

Prime Factorization of 56655

Prime Factorization of 56665

Now multiplying the highest exponent prime factors to calculate the LCM of 56655 and 56665.

LCM(56655,56665) = 3² × 5¹ × 1259¹ × 7¹ × 1619¹
LCM(56655,56665) = 642071115