What is the Least Common Multiple of 48342 and 48354?

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 48342 and 48354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48342 and 48354, than apply into the LCM equation.

GCF(48342,48354) = 6
LCM(48342,48354) = ( 48342 × 48354) / 6
LCM(48342,48354) = 2337529068 / 6
LCM(48342,48354) = 389588178

Least Common Multiple (LCM) of 48342 and 48354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48342 and 48354. First we will calculate the prime factors of 48342 and 48354.

Prime Factorization of 48342

Prime Factorization of 48354

Now multiplying the highest exponent prime factors to calculate the LCM of 48342 and 48354.

LCM(48342,48354) = 2¹ × 3¹ × 7¹ × 1151¹ × 8059¹
LCM(48342,48354) = 389588178