What is the Least Common Multiple of 95952 and 95970?

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 95952 and 95970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95952 and 95970, than apply into the LCM equation.

GCF(95952,95970) = 6
LCM(95952,95970) = ( 95952 × 95970) / 6
LCM(95952,95970) = 9208513440 / 6
LCM(95952,95970) = 1534752240

Least Common Multiple (LCM) of 95952 and 95970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95952 and 95970. First we will calculate the prime factors of 95952 and 95970.

Prime Factorization of 95952

Prime Factorization of 95970

Now multiplying the highest exponent prime factors to calculate the LCM of 95952 and 95970.

LCM(95952,95970) = 2⁴ × 3¹ × 1999¹ × 5¹ × 7¹ × 457¹
LCM(95952,95970) = 1534752240