What is the Least Common Multiple of 76450 and 76454?

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 76450 and 76454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76450 and 76454, than apply into the LCM equation.

GCF(76450,76454) = 2
LCM(76450,76454) = ( 76450 × 76454) / 2
LCM(76450,76454) = 5844908300 / 2
LCM(76450,76454) = 2922454150

Least Common Multiple (LCM) of 76450 and 76454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76450 and 76454. First we will calculate the prime factors of 76450 and 76454.

Prime Factorization of 76450

Prime Factorization of 76454

Now multiplying the highest exponent prime factors to calculate the LCM of 76450 and 76454.

LCM(76450,76454) = 2¹ × 5² × 11¹ × 139¹ × 7¹ × 43¹ × 127¹
LCM(76450,76454) = 2922454150