What is the Least Common Multiple of 48123 and 48135?

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 48123 and 48135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48123 and 48135, than apply into the LCM equation.

GCF(48123,48135) = 3
LCM(48123,48135) = ( 48123 × 48135) / 3
LCM(48123,48135) = 2316400605 / 3
LCM(48123,48135) = 772133535

Least Common Multiple (LCM) of 48123 and 48135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48123 and 48135. First we will calculate the prime factors of 48123 and 48135.

Prime Factorization of 48123

Prime Factorization of 48135

Now multiplying the highest exponent prime factors to calculate the LCM of 48123 and 48135.

LCM(48123,48135) = 3² × 5347¹ × 5¹ × 3209¹
LCM(48123,48135) = 772133535