What is the Least Common Multiple of 76680 and 76696?

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 76680 and 76696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76680 and 76696, than apply into the LCM equation.

GCF(76680,76696) = 8
LCM(76680,76696) = ( 76680 × 76696) / 8
LCM(76680,76696) = 5881049280 / 8
LCM(76680,76696) = 735131160

Least Common Multiple (LCM) of 76680 and 76696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76680 and 76696. First we will calculate the prime factors of 76680 and 76696.

Prime Factorization of 76680

Prime Factorization of 76696

Now multiplying the highest exponent prime factors to calculate the LCM of 76680 and 76696.

LCM(76680,76696) = 2³ × 3³ × 5¹ × 71¹ × 9587¹
LCM(76680,76696) = 735131160