What is the Least Common Multiple of 88509 and 88516?

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 88509 and 88516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88509 and 88516, than apply into the LCM equation.

GCF(88509,88516) = 1
LCM(88509,88516) = ( 88509 × 88516) / 1
LCM(88509,88516) = 7834462644 / 1
LCM(88509,88516) = 7834462644

Least Common Multiple (LCM) of 88509 and 88516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88509 and 88516. First we will calculate the prime factors of 88509 and 88516.

Prime Factorization of 88509

Prime Factorization of 88516

Now multiplying the highest exponent prime factors to calculate the LCM of 88509 and 88516.

LCM(88509,88516) = 3¹ × 163¹ × 181¹ × 2² × 22129¹
LCM(88509,88516) = 7834462644