What is the Least Common Multiple of 76074 and 76092?

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 76074 and 76092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76074 and 76092, than apply into the LCM equation.

GCF(76074,76092) = 6
LCM(76074,76092) = ( 76074 × 76092) / 6
LCM(76074,76092) = 5788622808 / 6
LCM(76074,76092) = 964770468

Least Common Multiple (LCM) of 76074 and 76092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76074 and 76092. First we will calculate the prime factors of 76074 and 76092.

Prime Factorization of 76074

Prime Factorization of 76092

Now multiplying the highest exponent prime factors to calculate the LCM of 76074 and 76092.

LCM(76074,76092) = 2² × 3¹ × 31¹ × 409¹ × 17¹ × 373¹
LCM(76074,76092) = 964770468