What is the Least Common Multiple of 77013 and 77025?

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 77013 and 77025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77013 and 77025, than apply into the LCM equation.

GCF(77013,77025) = 3
LCM(77013,77025) = ( 77013 × 77025) / 3
LCM(77013,77025) = 5931926325 / 3
LCM(77013,77025) = 1977308775

Least Common Multiple (LCM) of 77013 and 77025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77013 and 77025. First we will calculate the prime factors of 77013 and 77025.

Prime Factorization of 77013

Prime Factorization of 77025

Now multiplying the highest exponent prime factors to calculate the LCM of 77013 and 77025.

LCM(77013,77025) = 3² × 43¹ × 199¹ × 5² × 13¹ × 79¹
LCM(77013,77025) = 1977308775