What is the Least Common Multiple of 42345 and 42354?

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 42345 and 42354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42345 and 42354, than apply into the LCM equation.

GCF(42345,42354) = 9
LCM(42345,42354) = ( 42345 × 42354) / 9
LCM(42345,42354) = 1793480130 / 9
LCM(42345,42354) = 199275570

Least Common Multiple (LCM) of 42345 and 42354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42345 and 42354. First we will calculate the prime factors of 42345 and 42354.

Prime Factorization of 42345

Prime Factorization of 42354

Now multiplying the highest exponent prime factors to calculate the LCM of 42345 and 42354.

LCM(42345,42354) = 3² × 5¹ × 941¹ × 2¹ × 13¹ × 181¹
LCM(42345,42354) = 199275570