What is the Least Common Multiple of 92960 and 92972?

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 92972 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 92972, than apply into the LCM equation.

GCF(92960,92972) = 4
LCM(92960,92972) = ( 92960 × 92972) / 4
LCM(92960,92972) = 8642677120 / 4
LCM(92960,92972) = 2160669280

Least Common Multiple (LCM) of 92960 and 92972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92960 and 92972. First we will calculate the prime factors of 92960 and 92972.

Prime Factorization of 92960

Prime Factorization of 92972

Now multiplying the highest exponent prime factors to calculate the LCM of 92960 and 92972.

LCM(92960,92972) = 2⁵ × 5¹ × 7¹ × 83¹ × 11¹ × 2113¹
LCM(92960,92972) = 2160669280