What is the Least Common Multiple of 77072 and 77077?

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 77072 and 77077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77072 and 77077, than apply into the LCM equation.

GCF(77072,77077) = 1
LCM(77072,77077) = ( 77072 × 77077) / 1
LCM(77072,77077) = 5940478544 / 1
LCM(77072,77077) = 5940478544

Least Common Multiple (LCM) of 77072 and 77077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77072 and 77077. First we will calculate the prime factors of 77072 and 77077.

Prime Factorization of 77072

Prime Factorization of 77077

Now multiplying the highest exponent prime factors to calculate the LCM of 77072 and 77077.

LCM(77072,77077) = 2⁴ × 4817¹ × 7² × 11² × 13¹
LCM(77072,77077) = 5940478544