What is the Least Common Multiple of 88945 and 88951?

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 88945 and 88951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88945 and 88951, than apply into the LCM equation.

GCF(88945,88951) = 1
LCM(88945,88951) = ( 88945 × 88951) / 1
LCM(88945,88951) = 7911746695 / 1
LCM(88945,88951) = 7911746695

Least Common Multiple (LCM) of 88945 and 88951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88945 and 88951. First we will calculate the prime factors of 88945 and 88951.

Prime Factorization of 88945

Prime Factorization of 88951

Now multiplying the highest exponent prime factors to calculate the LCM of 88945 and 88951.

LCM(88945,88951) = 5¹ × 17789¹ × 88951¹
LCM(88945,88951) = 7911746695