What is the Least Common Multiple of 56955 and 56965?

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 56955 and 56965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56955 and 56965, than apply into the LCM equation.

GCF(56955,56965) = 5
LCM(56955,56965) = ( 56955 × 56965) / 5
LCM(56955,56965) = 3244441575 / 5
LCM(56955,56965) = 648888315

Least Common Multiple (LCM) of 56955 and 56965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56955 and 56965. First we will calculate the prime factors of 56955 and 56965.

Prime Factorization of 56955

Prime Factorization of 56965

Now multiplying the highest exponent prime factors to calculate the LCM of 56955 and 56965.

LCM(56955,56965) = 3¹ × 5¹ × 3797¹ × 11393¹
LCM(56955,56965) = 648888315