What is the Least Common Multiple of 76296 and 76305?

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 76305 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 76305, than apply into the LCM equation.

GCF(76296,76305) = 3
LCM(76296,76305) = ( 76296 × 76305) / 3
LCM(76296,76305) = 5821766280 / 3
LCM(76296,76305) = 1940588760

Least Common Multiple (LCM) of 76296 and 76305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76296 and 76305. First we will calculate the prime factors of 76296 and 76305.

Prime Factorization of 76296

Prime Factorization of 76305

Now multiplying the highest exponent prime factors to calculate the LCM of 76296 and 76305.

LCM(76296,76305) = 2³ × 3¹ × 11¹ × 17² × 5¹ × 5087¹
LCM(76296,76305) = 1940588760