What is the Least Common Multiple of 58965 and 58970?

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 58965 and 58970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58965 and 58970, than apply into the LCM equation.

GCF(58965,58970) = 5
LCM(58965,58970) = ( 58965 × 58970) / 5
LCM(58965,58970) = 3477166050 / 5
LCM(58965,58970) = 695433210

Least Common Multiple (LCM) of 58965 and 58970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58965 and 58970. First we will calculate the prime factors of 58965 and 58970.

Prime Factorization of 58965

Prime Factorization of 58970

Now multiplying the highest exponent prime factors to calculate the LCM of 58965 and 58970.

LCM(58965,58970) = 3¹ × 5¹ × 3931¹ × 2¹ × 5897¹
LCM(58965,58970) = 695433210