What is the Least Common Multiple of 95970 and 95985?

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 95970 and 95985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95970 and 95985, than apply into the LCM equation.

GCF(95970,95985) = 15
LCM(95970,95985) = ( 95970 × 95985) / 15
LCM(95970,95985) = 9211680450 / 15
LCM(95970,95985) = 614112030

Least Common Multiple (LCM) of 95970 and 95985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95970 and 95985. First we will calculate the prime factors of 95970 and 95985.

Prime Factorization of 95970

Prime Factorization of 95985

Now multiplying the highest exponent prime factors to calculate the LCM of 95970 and 95985.

LCM(95970,95985) = 2¹ × 3⁵ × 5¹ × 7¹ × 457¹ × 79¹
LCM(95970,95985) = 614112030