What is the Least Common Multiple of 76020 and 76035?

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 76020 and 76035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76020 and 76035, than apply into the LCM equation.

GCF(76020,76035) = 15
LCM(76020,76035) = ( 76020 × 76035) / 15
LCM(76020,76035) = 5780180700 / 15
LCM(76020,76035) = 385345380

Least Common Multiple (LCM) of 76020 and 76035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76020 and 76035. First we will calculate the prime factors of 76020 and 76035.

Prime Factorization of 76020

Prime Factorization of 76035

Now multiplying the highest exponent prime factors to calculate the LCM of 76020 and 76035.

LCM(76020,76035) = 2² × 3¹ × 5¹ × 7¹ × 181¹ × 37¹ × 137¹
LCM(76020,76035) = 385345380