What is the Least Common Multiple of 42356 and 42368?

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 42356 and 42368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42356 and 42368, than apply into the LCM equation.

GCF(42356,42368) = 4
LCM(42356,42368) = ( 42356 × 42368) / 4
LCM(42356,42368) = 1794539008 / 4
LCM(42356,42368) = 448634752

Least Common Multiple (LCM) of 42356 and 42368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42356 and 42368. First we will calculate the prime factors of 42356 and 42368.

Prime Factorization of 42356

Prime Factorization of 42368

Now multiplying the highest exponent prime factors to calculate the LCM of 42356 and 42368.

LCM(42356,42368) = 2⁷ × 10589¹ × 331¹
LCM(42356,42368) = 448634752