What is the Least Common Multiple of 88824 and 88833?

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 88824 and 88833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88824 and 88833, than apply into the LCM equation.

GCF(88824,88833) = 3
LCM(88824,88833) = ( 88824 × 88833) / 3
LCM(88824,88833) = 7890502392 / 3
LCM(88824,88833) = 2630167464

Least Common Multiple (LCM) of 88824 and 88833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88824 and 88833. First we will calculate the prime factors of 88824 and 88833.

Prime Factorization of 88824

Prime Factorization of 88833

Now multiplying the highest exponent prime factors to calculate the LCM of 88824 and 88833.

LCM(88824,88833) = 2³ × 3¹ × 3701¹ × 29611¹
LCM(88824,88833) = 2630167464