What is the Least Common Multiple of 76006 and 76025?

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 76006 and 76025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76006 and 76025, than apply into the LCM equation.

GCF(76006,76025) = 1
LCM(76006,76025) = ( 76006 × 76025) / 1
LCM(76006,76025) = 5778356150 / 1
LCM(76006,76025) = 5778356150

Least Common Multiple (LCM) of 76006 and 76025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76006 and 76025. First we will calculate the prime factors of 76006 and 76025.

Prime Factorization of 76006

Prime Factorization of 76025

Now multiplying the highest exponent prime factors to calculate the LCM of 76006 and 76025.

LCM(76006,76025) = 2¹ × 7¹ × 61¹ × 89¹ × 5² × 3041¹
LCM(76006,76025) = 5778356150