What is the Least Common Multiple of 76968 and 76981?

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 76968 and 76981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76968 and 76981, than apply into the LCM equation.

GCF(76968,76981) = 1
LCM(76968,76981) = ( 76968 × 76981) / 1
LCM(76968,76981) = 5925073608 / 1
LCM(76968,76981) = 5925073608

Least Common Multiple (LCM) of 76968 and 76981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76968 and 76981. First we will calculate the prime factors of 76968 and 76981.

Prime Factorization of 76968

Prime Factorization of 76981

Now multiplying the highest exponent prime factors to calculate the LCM of 76968 and 76981.

LCM(76968,76981) = 2³ × 3² × 1069¹ × 23¹ × 3347¹
LCM(76968,76981) = 5925073608