What is the Least Common Multiple of 88626 and 88631?

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 88626 and 88631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88626 and 88631, than apply into the LCM equation.

GCF(88626,88631) = 1
LCM(88626,88631) = ( 88626 × 88631) / 1
LCM(88626,88631) = 7855011006 / 1
LCM(88626,88631) = 7855011006

Least Common Multiple (LCM) of 88626 and 88631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88626 and 88631. First we will calculate the prime factors of 88626 and 88631.

Prime Factorization of 88626

Prime Factorization of 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 88626 and 88631.

LCM(88626,88631) = 2¹ × 3¹ × 14771¹ × 263¹ × 337¹
LCM(88626,88631) = 7855011006