What is the Least Common Multiple of 76720 and 76725?

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 76720 and 76725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76720 and 76725, than apply into the LCM equation.

GCF(76720,76725) = 5
LCM(76720,76725) = ( 76720 × 76725) / 5
LCM(76720,76725) = 5886342000 / 5
LCM(76720,76725) = 1177268400

Least Common Multiple (LCM) of 76720 and 76725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76720 and 76725. First we will calculate the prime factors of 76720 and 76725.

Prime Factorization of 76720

Prime Factorization of 76725

Now multiplying the highest exponent prime factors to calculate the LCM of 76720 and 76725.

LCM(76720,76725) = 2⁴ × 5² × 7¹ × 137¹ × 3² × 11¹ × 31¹
LCM(76720,76725) = 1177268400