What is the Least Common Multiple of 96992 and 97000?

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 96992 and 97000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96992 and 97000, than apply into the LCM equation.

GCF(96992,97000) = 8
LCM(96992,97000) = ( 96992 × 97000) / 8
LCM(96992,97000) = 9408224000 / 8
LCM(96992,97000) = 1176028000

Least Common Multiple (LCM) of 96992 and 97000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96992 and 97000. First we will calculate the prime factors of 96992 and 97000.

Prime Factorization of 96992

Prime Factorization of 97000

Now multiplying the highest exponent prime factors to calculate the LCM of 96992 and 97000.

LCM(96992,97000) = 2⁵ × 7¹ × 433¹ × 5³ × 97¹
LCM(96992,97000) = 1176028000