GCF and LCM Calculator Logo

What is the Least Common Multiple of 92006 and 92024?

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 (LCM) of 92006 and 92024 is 4233380072.

LCM(92006,92024) = 4233380072

LCM Calculator and
and

Least Common Multiple of 92006 and 92024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92006 and 92024, than apply into the LCM equation.

GCF(92006,92024) = 2
LCM(92006,92024) = ( 92006 × 92024) / 2
LCM(92006,92024) = 8466760144 / 2
LCM(92006,92024) = 4233380072

Least Common Multiple (LCM) of 92006 and 92024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92006 and 92024. First we will calculate the prime factors of 92006 and 92024.

Prime Factorization of 92006

Prime factors of 92006 are 2, 179, 257. Prime factorization of 92006 in exponential form is:

92006 = 21 × 1791 × 2571

Prime Factorization of 92024

Prime factors of 92024 are 2, 11503. Prime factorization of 92024 in exponential form is:

92024 = 23 × 115031

Now multiplying the highest exponent prime factors to calculate the LCM of 92006 and 92024.

LCM(92006,92024) = 23 × 1791 × 2571 × 115031
LCM(92006,92024) = 4233380072