What is the Least Common Multiple of 51006 and 51024?

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 51006 and 51024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51006 and 51024, than apply into the LCM equation.

GCF(51006,51024) = 6
LCM(51006,51024) = ( 51006 × 51024) / 6
LCM(51006,51024) = 2602530144 / 6
LCM(51006,51024) = 433755024

Least Common Multiple (LCM) of 51006 and 51024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51006 and 51024. First we will calculate the prime factors of 51006 and 51024.

Prime Factorization of 51006

Prime Factorization of 51024

Now multiplying the highest exponent prime factors to calculate the LCM of 51006 and 51024.

LCM(51006,51024) = 2⁴ × 3¹ × 8501¹ × 1063¹
LCM(51006,51024) = 433755024