What is the Least Common Multiple of 76530 and 76542?

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 76530 and 76542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76530 and 76542, than apply into the LCM equation.

GCF(76530,76542) = 6
LCM(76530,76542) = ( 76530 × 76542) / 6
LCM(76530,76542) = 5857759260 / 6
LCM(76530,76542) = 976293210

Least Common Multiple (LCM) of 76530 and 76542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76530 and 76542. First we will calculate the prime factors of 76530 and 76542.

Prime Factorization of 76530

Prime Factorization of 76542

Now multiplying the highest exponent prime factors to calculate the LCM of 76530 and 76542.

LCM(76530,76542) = 2¹ × 3¹ × 5¹ × 2551¹ × 12757¹
LCM(76530,76542) = 976293210