What is the Least Common Multiple of 56961 and 56970?

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 56961 and 56970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56961 and 56970, than apply into the LCM equation.

GCF(56961,56970) = 9
LCM(56961,56970) = ( 56961 × 56970) / 9
LCM(56961,56970) = 3245068170 / 9
LCM(56961,56970) = 360563130

Least Common Multiple (LCM) of 56961 and 56970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56961 and 56970. First we will calculate the prime factors of 56961 and 56970.

Prime Factorization of 56961

Prime Factorization of 56970

Now multiplying the highest exponent prime factors to calculate the LCM of 56961 and 56970.

LCM(56961,56970) = 3³ × 6329¹ × 2¹ × 5¹ × 211¹
LCM(56961,56970) = 360563130