What is the Least Common Multiple of 88644 and 88651?

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 88644 and 88651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88644 and 88651, than apply into the LCM equation.

GCF(88644,88651) = 1
LCM(88644,88651) = ( 88644 × 88651) / 1
LCM(88644,88651) = 7858379244 / 1
LCM(88644,88651) = 7858379244

Least Common Multiple (LCM) of 88644 and 88651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88644 and 88651. First we will calculate the prime factors of 88644 and 88651.

Prime Factorization of 88644

Prime Factorization of 88651

Now multiplying the highest exponent prime factors to calculate the LCM of 88644 and 88651.

LCM(88644,88651) = 2² × 3¹ × 83¹ × 89¹ × 88651¹
LCM(88644,88651) = 7858379244