What is the Least Common Multiple of 88479 and 88485?

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 88479 and 88485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88479 and 88485, than apply into the LCM equation.

GCF(88479,88485) = 3
LCM(88479,88485) = ( 88479 × 88485) / 3
LCM(88479,88485) = 7829064315 / 3
LCM(88479,88485) = 2609688105

Least Common Multiple (LCM) of 88479 and 88485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88479 and 88485. First we will calculate the prime factors of 88479 and 88485.

Prime Factorization of 88479

Prime Factorization of 88485

Now multiplying the highest exponent prime factors to calculate the LCM of 88479 and 88485.

LCM(88479,88485) = 3³ × 29¹ × 113¹ × 5¹ × 17¹ × 347¹
LCM(88479,88485) = 2609688105