What is the Least Common Multiple of 76008 and 76024?

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 76008 and 76024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76008 and 76024, than apply into the LCM equation.

GCF(76008,76024) = 8
LCM(76008,76024) = ( 76008 × 76024) / 8
LCM(76008,76024) = 5778432192 / 8
LCM(76008,76024) = 722304024

Least Common Multiple (LCM) of 76008 and 76024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76008 and 76024. First we will calculate the prime factors of 76008 and 76024.

Prime Factorization of 76008

Prime Factorization of 76024

Now multiplying the highest exponent prime factors to calculate the LCM of 76008 and 76024.

LCM(76008,76024) = 2³ × 3¹ × 3167¹ × 13¹ × 17¹ × 43¹
LCM(76008,76024) = 722304024