What is the Least Common Multiple of 76075 and 76090?

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 76075 and 76090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76075 and 76090, than apply into the LCM equation.

GCF(76075,76090) = 5
LCM(76075,76090) = ( 76075 × 76090) / 5
LCM(76075,76090) = 5788546750 / 5
LCM(76075,76090) = 1157709350

Least Common Multiple (LCM) of 76075 and 76090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76075 and 76090. First we will calculate the prime factors of 76075 and 76090.

Prime Factorization of 76075

Prime Factorization of 76090

Now multiplying the highest exponent prime factors to calculate the LCM of 76075 and 76090.

LCM(76075,76090) = 5² × 17¹ × 179¹ × 2¹ × 7¹ × 1087¹
LCM(76075,76090) = 1157709350