What is the Least Common Multiple of 88932 and 88943?

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 88932 and 88943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88932 and 88943, than apply into the LCM equation.

GCF(88932,88943) = 1
LCM(88932,88943) = ( 88932 × 88943) / 1
LCM(88932,88943) = 7909878876 / 1
LCM(88932,88943) = 7909878876

Least Common Multiple (LCM) of 88932 and 88943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88932 and 88943. First we will calculate the prime factors of 88932 and 88943.

Prime Factorization of 88932

Prime Factorization of 88943

Now multiplying the highest exponent prime factors to calculate the LCM of 88932 and 88943.

LCM(88932,88943) = 2² × 3¹ × 7411¹ × 29¹ × 3067¹
LCM(88932,88943) = 7909878876