What is the Least Common Multiple of 42435 and 42444?

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 42435 and 42444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42435 and 42444, than apply into the LCM equation.

GCF(42435,42444) = 9
LCM(42435,42444) = ( 42435 × 42444) / 9
LCM(42435,42444) = 1801111140 / 9
LCM(42435,42444) = 200123460

Least Common Multiple (LCM) of 42435 and 42444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42435 and 42444. First we will calculate the prime factors of 42435 and 42444.

Prime Factorization of 42435

Prime Factorization of 42444

Now multiplying the highest exponent prime factors to calculate the LCM of 42435 and 42444.

LCM(42435,42444) = 3⁴ × 5¹ × 23¹ × 41¹ × 2² × 131¹
LCM(42435,42444) = 200123460