What is the Least Common Multiple of 88528 and 88533?

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 88528 and 88533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88528 and 88533, than apply into the LCM equation.

GCF(88528,88533) = 1
LCM(88528,88533) = ( 88528 × 88533) / 1
LCM(88528,88533) = 7837649424 / 1
LCM(88528,88533) = 7837649424

Least Common Multiple (LCM) of 88528 and 88533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88528 and 88533. First we will calculate the prime factors of 88528 and 88533.

Prime Factorization of 88528

Prime Factorization of 88533

Now multiplying the highest exponent prime factors to calculate the LCM of 88528 and 88533.

LCM(88528,88533) = 2⁴ × 11¹ × 503¹ × 3⁴ × 1093¹
LCM(88528,88533) = 7837649424