What is the Least Common Multiple of 93960 and 93974?

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 93960 and 93974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93960 and 93974, than apply into the LCM equation.

GCF(93960,93974) = 2
LCM(93960,93974) = ( 93960 × 93974) / 2
LCM(93960,93974) = 8829797040 / 2
LCM(93960,93974) = 4414898520

Least Common Multiple (LCM) of 93960 and 93974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93960 and 93974. First we will calculate the prime factors of 93960 and 93974.

Prime Factorization of 93960

Prime Factorization of 93974

Now multiplying the highest exponent prime factors to calculate the LCM of 93960 and 93974.

LCM(93960,93974) = 2³ × 3⁴ × 5¹ × 29¹ × 19¹ × 2473¹
LCM(93960,93974) = 4414898520