What is the Least Common Multiple of 77661 and 77679?

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 77661 and 77679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77661 and 77679, than apply into the LCM equation.

GCF(77661,77679) = 9
LCM(77661,77679) = ( 77661 × 77679) / 9
LCM(77661,77679) = 6032628819 / 9
LCM(77661,77679) = 670292091

Least Common Multiple (LCM) of 77661 and 77679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77661 and 77679. First we will calculate the prime factors of 77661 and 77679.

Prime Factorization of 77661

Prime Factorization of 77679

Now multiplying the highest exponent prime factors to calculate the LCM of 77661 and 77679.

LCM(77661,77679) = 3⁴ × 8629¹ × 7¹ × 137¹
LCM(77661,77679) = 670292091