What is the Least Common Multiple of 48615 and 48633?

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 48615 and 48633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48615 and 48633, than apply into the LCM equation.

GCF(48615,48633) = 3
LCM(48615,48633) = ( 48615 × 48633) / 3
LCM(48615,48633) = 2364293295 / 3
LCM(48615,48633) = 788097765

Least Common Multiple (LCM) of 48615 and 48633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48615 and 48633. First we will calculate the prime factors of 48615 and 48633.

Prime Factorization of 48615

Prime Factorization of 48633

Now multiplying the highest exponent prime factors to calculate the LCM of 48615 and 48633.

LCM(48615,48633) = 3¹ × 5¹ × 7¹ × 463¹ × 13¹ × 29¹ × 43¹
LCM(48615,48633) = 788097765