What is the Least Common Multiple of 88739 and 88747?

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 88739 and 88747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88739 and 88747, than apply into the LCM equation.

GCF(88739,88747) = 1
LCM(88739,88747) = ( 88739 × 88747) / 1
LCM(88739,88747) = 7875320033 / 1
LCM(88739,88747) = 7875320033

Least Common Multiple (LCM) of 88739 and 88747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88739 and 88747. First we will calculate the prime factors of 88739 and 88747.

Prime Factorization of 88739

Prime Factorization of 88747

Now multiplying the highest exponent prime factors to calculate the LCM of 88739 and 88747.

LCM(88739,88747) = 7² × 1811¹ × 88747¹
LCM(88739,88747) = 7875320033