What is the Least Common Multiple of 48261 and 48270?

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 48261 and 48270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48261 and 48270, than apply into the LCM equation.

GCF(48261,48270) = 3
LCM(48261,48270) = ( 48261 × 48270) / 3
LCM(48261,48270) = 2329558470 / 3
LCM(48261,48270) = 776519490

Least Common Multiple (LCM) of 48261 and 48270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48261 and 48270. First we will calculate the prime factors of 48261 and 48270.

Prime Factorization of 48261

Prime Factorization of 48270

Now multiplying the highest exponent prime factors to calculate the LCM of 48261 and 48270.

LCM(48261,48270) = 3¹ × 16087¹ × 2¹ × 5¹ × 1609¹
LCM(48261,48270) = 776519490