What is the Least Common Multiple of 77968 and 77982?

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 77968 and 77982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77968 and 77982, than apply into the LCM equation.

GCF(77968,77982) = 2
LCM(77968,77982) = ( 77968 × 77982) / 2
LCM(77968,77982) = 6080100576 / 2
LCM(77968,77982) = 3040050288

Least Common Multiple (LCM) of 77968 and 77982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77968 and 77982. First we will calculate the prime factors of 77968 and 77982.

Prime Factorization of 77968

Prime Factorization of 77982

Now multiplying the highest exponent prime factors to calculate the LCM of 77968 and 77982.

LCM(77968,77982) = 2⁴ × 11¹ × 443¹ × 3¹ × 41¹ × 317¹
LCM(77968,77982) = 3040050288