What is the Least Common Multiple of 76895 and 76907?

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 76895 and 76907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76895 and 76907, than apply into the LCM equation.

GCF(76895,76907) = 1
LCM(76895,76907) = ( 76895 × 76907) / 1
LCM(76895,76907) = 5913763765 / 1
LCM(76895,76907) = 5913763765

Least Common Multiple (LCM) of 76895 and 76907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76895 and 76907. First we will calculate the prime factors of 76895 and 76907.

Prime Factorization of 76895

Prime Factorization of 76907

Now multiplying the highest exponent prime factors to calculate the LCM of 76895 and 76907.

LCM(76895,76907) = 5¹ × 7¹ × 13³ × 76907¹
LCM(76895,76907) = 5913763765