What is the Least Common Multiple of 77643 and 77663?

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 77643 and 77663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77643 and 77663, than apply into the LCM equation.

GCF(77643,77663) = 1
LCM(77643,77663) = ( 77643 × 77663) / 1
LCM(77643,77663) = 6029988309 / 1
LCM(77643,77663) = 6029988309

Least Common Multiple (LCM) of 77643 and 77663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77643 and 77663. First we will calculate the prime factors of 77643 and 77663.

Prime Factorization of 77643

Prime Factorization of 77663

Now multiplying the highest exponent prime factors to calculate the LCM of 77643 and 77663.

LCM(77643,77663) = 3² × 8627¹ × 37¹ × 2099¹
LCM(77643,77663) = 6029988309