What is the Least Common Multiple of 92008 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 of 92008 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 92008 and 92024, than apply into the LCM equation.

GCF(92008,92024) = 8
LCM(92008,92024) = ( 92008 × 92024) / 8
LCM(92008,92024) = 8466944192 / 8
LCM(92008,92024) = 1058368024

Least Common Multiple (LCM) of 92008 and 92024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92008 and 92024. First we will calculate the prime factors of 92008 and 92024.

Prime Factorization of 92008

Prime Factorization of 92024

Now multiplying the highest exponent prime factors to calculate the LCM of 92008 and 92024.

LCM(92008,92024) = 2³ × 7¹ × 31¹ × 53¹ × 11503¹
LCM(92008,92024) = 1058368024