What is the Least Common Multiple of 48270 and 48282?

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 48270 and 48282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48270 and 48282, than apply into the LCM equation.

GCF(48270,48282) = 6
LCM(48270,48282) = ( 48270 × 48282) / 6
LCM(48270,48282) = 2330572140 / 6
LCM(48270,48282) = 388428690

Least Common Multiple (LCM) of 48270 and 48282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48270 and 48282. First we will calculate the prime factors of 48270 and 48282.

Prime Factorization of 48270

Prime Factorization of 48282

Now multiplying the highest exponent prime factors to calculate the LCM of 48270 and 48282.

LCM(48270,48282) = 2¹ × 3¹ × 5¹ × 1609¹ × 13¹ × 619¹
LCM(48270,48282) = 388428690