What is the Least Common Multiple of 48051 and 48060?

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 48051 and 48060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48051 and 48060, than apply into the LCM equation.

GCF(48051,48060) = 9
LCM(48051,48060) = ( 48051 × 48060) / 9
LCM(48051,48060) = 2309331060 / 9
LCM(48051,48060) = 256592340

Least Common Multiple (LCM) of 48051 and 48060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48051 and 48060. First we will calculate the prime factors of 48051 and 48060.

Prime Factorization of 48051

Prime Factorization of 48060

Now multiplying the highest exponent prime factors to calculate the LCM of 48051 and 48060.

LCM(48051,48060) = 3³ × 19¹ × 281¹ × 2² × 5¹ × 89¹
LCM(48051,48060) = 256592340