What is the Least Common Multiple of 96054 and 96074?

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 96054 and 96074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96054 and 96074, than apply into the LCM equation.

GCF(96054,96074) = 2
LCM(96054,96074) = ( 96054 × 96074) / 2
LCM(96054,96074) = 9228291996 / 2
LCM(96054,96074) = 4614145998

Least Common Multiple (LCM) of 96054 and 96074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96054 and 96074. First we will calculate the prime factors of 96054 and 96074.

Prime Factorization of 96054

Prime Factorization of 96074

Now multiplying the highest exponent prime factors to calculate the LCM of 96054 and 96074.

LCM(96054,96074) = 2¹ × 3¹ × 7¹ × 2287¹ × 11² × 397¹
LCM(96054,96074) = 4614145998