What is the Least Common Multiple of 76980 and 76992?

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 76980 and 76992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76980 and 76992, than apply into the LCM equation.

GCF(76980,76992) = 12
LCM(76980,76992) = ( 76980 × 76992) / 12
LCM(76980,76992) = 5926844160 / 12
LCM(76980,76992) = 493903680

Least Common Multiple (LCM) of 76980 and 76992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76980 and 76992. First we will calculate the prime factors of 76980 and 76992.

Prime Factorization of 76980

Prime Factorization of 76992

Now multiplying the highest exponent prime factors to calculate the LCM of 76980 and 76992.

LCM(76980,76992) = 2⁶ × 3¹ × 5¹ × 1283¹ × 401¹
LCM(76980,76992) = 493903680