What is the Least Common Multiple of 48846 and 48858?

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 48846 and 48858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48846 and 48858, than apply into the LCM equation.

GCF(48846,48858) = 6
LCM(48846,48858) = ( 48846 × 48858) / 6
LCM(48846,48858) = 2386517868 / 6
LCM(48846,48858) = 397752978

Least Common Multiple (LCM) of 48846 and 48858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48846 and 48858. First we will calculate the prime factors of 48846 and 48858.

Prime Factorization of 48846

Prime Factorization of 48858

Now multiplying the highest exponent prime factors to calculate the LCM of 48846 and 48858.

LCM(48846,48858) = 2¹ × 3¹ × 7¹ × 1163¹ × 17¹ × 479¹
LCM(48846,48858) = 397752978