What is the Least Common Multiple of 76560 and 76566?

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 76560 and 76566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76560 and 76566, than apply into the LCM equation.

GCF(76560,76566) = 6
LCM(76560,76566) = ( 76560 × 76566) / 6
LCM(76560,76566) = 5861892960 / 6
LCM(76560,76566) = 976982160

Least Common Multiple (LCM) of 76560 and 76566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76560 and 76566. First we will calculate the prime factors of 76560 and 76566.

Prime Factorization of 76560

Prime Factorization of 76566

Now multiplying the highest exponent prime factors to calculate the LCM of 76560 and 76566.

LCM(76560,76566) = 2⁴ × 3¹ × 5¹ × 11¹ × 29¹ × 7¹ × 1823¹
LCM(76560,76566) = 976982160