What is the Least Common Multiple of 76641 and 76647?

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 76641 and 76647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76641 and 76647, than apply into the LCM equation.

GCF(76641,76647) = 3
LCM(76641,76647) = ( 76641 × 76647) / 3
LCM(76641,76647) = 5874302727 / 3
LCM(76641,76647) = 1958100909

Least Common Multiple (LCM) of 76641 and 76647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76641 and 76647. First we will calculate the prime factors of 76641 and 76647.

Prime Factorization of 76641

Prime Factorization of 76647

Now multiplying the highest exponent prime factors to calculate the LCM of 76641 and 76647.

LCM(76641,76647) = 3¹ × 59¹ × 433¹ × 29¹ × 881¹
LCM(76641,76647) = 1958100909