What is the Least Common Multiple of 92960 and 92975?

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 92960 and 92975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92960 and 92975, than apply into the LCM equation.

GCF(92960,92975) = 5
LCM(92960,92975) = ( 92960 × 92975) / 5
LCM(92960,92975) = 8642956000 / 5
LCM(92960,92975) = 1728591200

Least Common Multiple (LCM) of 92960 and 92975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92960 and 92975. First we will calculate the prime factors of 92960 and 92975.

Prime Factorization of 92960

Prime Factorization of 92975

Now multiplying the highest exponent prime factors to calculate the LCM of 92960 and 92975.

LCM(92960,92975) = 2⁵ × 5² × 7¹ × 83¹ × 3719¹
LCM(92960,92975) = 1728591200