What is the Least Common Multiple of 88609 and 88622?

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 88609 and 88622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88609 and 88622, than apply into the LCM equation.

GCF(88609,88622) = 1
LCM(88609,88622) = ( 88609 × 88622) / 1
LCM(88609,88622) = 7852706798 / 1
LCM(88609,88622) = 7852706798

Least Common Multiple (LCM) of 88609 and 88622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88609 and 88622. First we will calculate the prime factors of 88609 and 88622.

Prime Factorization of 88609

Prime Factorization of 88622

Now multiplying the highest exponent prime factors to calculate the LCM of 88609 and 88622.

LCM(88609,88622) = 88609¹ × 2¹ × 73¹ × 607¹
LCM(88609,88622) = 7852706798