What is the Least Common Multiple of 76296 and 76300?

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 76296 and 76300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76296 and 76300, than apply into the LCM equation.

GCF(76296,76300) = 4
LCM(76296,76300) = ( 76296 × 76300) / 4
LCM(76296,76300) = 5821384800 / 4
LCM(76296,76300) = 1455346200

Least Common Multiple (LCM) of 76296 and 76300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76296 and 76300. First we will calculate the prime factors of 76296 and 76300.

Prime Factorization of 76296

Prime Factorization of 76300

Now multiplying the highest exponent prime factors to calculate the LCM of 76296 and 76300.

LCM(76296,76300) = 2³ × 3¹ × 11¹ × 17² × 5² × 7¹ × 109¹
LCM(76296,76300) = 1455346200