What is the Least Common Multiple of 48546 and 48555?

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 48546 and 48555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48546 and 48555, than apply into the LCM equation.

GCF(48546,48555) = 9
LCM(48546,48555) = ( 48546 × 48555) / 9
LCM(48546,48555) = 2357151030 / 9
LCM(48546,48555) = 261905670

Least Common Multiple (LCM) of 48546 and 48555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48546 and 48555. First we will calculate the prime factors of 48546 and 48555.

Prime Factorization of 48546

Prime Factorization of 48555

Now multiplying the highest exponent prime factors to calculate the LCM of 48546 and 48555.

LCM(48546,48555) = 2¹ × 3³ × 29¹ × 31¹ × 5¹ × 13¹ × 83¹
LCM(48546,48555) = 261905670