What is the Least Common Multiple of 48234 and 48240?

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 48234 and 48240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48234 and 48240, than apply into the LCM equation.

GCF(48234,48240) = 6
LCM(48234,48240) = ( 48234 × 48240) / 6
LCM(48234,48240) = 2326808160 / 6
LCM(48234,48240) = 387801360

Least Common Multiple (LCM) of 48234 and 48240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48234 and 48240. First we will calculate the prime factors of 48234 and 48240.

Prime Factorization of 48234

Prime Factorization of 48240

Now multiplying the highest exponent prime factors to calculate the LCM of 48234 and 48240.

LCM(48234,48240) = 2⁴ × 3² × 8039¹ × 5¹ × 67¹
LCM(48234,48240) = 387801360