What is the Least Common Multiple of 48249 and 48267?

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 48249 and 48267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48249 and 48267, than apply into the LCM equation.

GCF(48249,48267) = 9
LCM(48249,48267) = ( 48249 × 48267) / 9
LCM(48249,48267) = 2328834483 / 9
LCM(48249,48267) = 258759387

Least Common Multiple (LCM) of 48249 and 48267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48249 and 48267. First we will calculate the prime factors of 48249 and 48267.

Prime Factorization of 48249

Prime Factorization of 48267

Now multiplying the highest exponent prime factors to calculate the LCM of 48249 and 48267.

LCM(48249,48267) = 3³ × 1787¹ × 31¹ × 173¹
LCM(48249,48267) = 258759387