What is the Least Common Multiple of 76992 and 77007?

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 76992 and 77007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76992 and 77007, than apply into the LCM equation.

GCF(76992,77007) = 3
LCM(76992,77007) = ( 76992 × 77007) / 3
LCM(76992,77007) = 5928922944 / 3
LCM(76992,77007) = 1976307648

Least Common Multiple (LCM) of 76992 and 77007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76992 and 77007. First we will calculate the prime factors of 76992 and 77007.

Prime Factorization of 76992

Prime Factorization of 77007

Now multiplying the highest exponent prime factors to calculate the LCM of 76992 and 77007.

LCM(76992,77007) = 2⁶ × 3¹ × 401¹ × 7¹ × 19¹ × 193¹
LCM(76992,77007) = 1976307648