What is the Least Common Multiple of 77668 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 77668 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 77668 and 77679, than apply into the LCM equation.

GCF(77668,77679) = 1
LCM(77668,77679) = ( 77668 × 77679) / 1
LCM(77668,77679) = 6033172572 / 1
LCM(77668,77679) = 6033172572

Least Common Multiple (LCM) of 77668 and 77679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77668 and 77679. First we will calculate the prime factors of 77668 and 77679.

Prime Factorization of 77668

Prime Factorization of 77679

Now multiplying the highest exponent prime factors to calculate the LCM of 77668 and 77679.

LCM(77668,77679) = 2² × 19417¹ × 3⁴ × 7¹ × 137¹
LCM(77668,77679) = 6033172572