What is the Least Common Multiple of 91992 and 92000?

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 91992 and 92000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91992 and 92000, than apply into the LCM equation.

GCF(91992,92000) = 8
LCM(91992,92000) = ( 91992 × 92000) / 8
LCM(91992,92000) = 8463264000 / 8
LCM(91992,92000) = 1057908000

Least Common Multiple (LCM) of 91992 and 92000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91992 and 92000. First we will calculate the prime factors of 91992 and 92000.

Prime Factorization of 91992

Prime Factorization of 92000

Now multiplying the highest exponent prime factors to calculate the LCM of 91992 and 92000.

LCM(91992,92000) = 2⁵ × 3¹ × 3833¹ × 5³ × 23¹
LCM(91992,92000) = 1057908000