What is the Least Common Multiple of 88344 and 88360?

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 88344 and 88360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88344 and 88360, than apply into the LCM equation.

GCF(88344,88360) = 8
LCM(88344,88360) = ( 88344 × 88360) / 8
LCM(88344,88360) = 7806075840 / 8
LCM(88344,88360) = 975759480

Least Common Multiple (LCM) of 88344 and 88360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88344 and 88360. First we will calculate the prime factors of 88344 and 88360.

Prime Factorization of 88344

Prime Factorization of 88360

Now multiplying the highest exponent prime factors to calculate the LCM of 88344 and 88360.

LCM(88344,88360) = 2³ × 3³ × 409¹ × 5¹ × 47²
LCM(88344,88360) = 975759480