What is the Least Common Multiple of 88668 and 88679?

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 88668 and 88679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88668 and 88679, than apply into the LCM equation.

GCF(88668,88679) = 1
LCM(88668,88679) = ( 88668 × 88679) / 1
LCM(88668,88679) = 7862989572 / 1
LCM(88668,88679) = 7862989572

Least Common Multiple (LCM) of 88668 and 88679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88668 and 88679. First we will calculate the prime factors of 88668 and 88679.

Prime Factorization of 88668

Prime Factorization of 88679

Now multiplying the highest exponent prime factors to calculate the LCM of 88668 and 88679.

LCM(88668,88679) = 2² × 3³ × 821¹ × 71¹ × 1249¹
LCM(88668,88679) = 7862989572