What is the Least Common Multiple of 42444 and 42450?

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 42444 and 42450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42444 and 42450, than apply into the LCM equation.

GCF(42444,42450) = 6
LCM(42444,42450) = ( 42444 × 42450) / 6
LCM(42444,42450) = 1801747800 / 6
LCM(42444,42450) = 300291300

Least Common Multiple (LCM) of 42444 and 42450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42444 and 42450. First we will calculate the prime factors of 42444 and 42450.

Prime Factorization of 42444

Prime Factorization of 42450

Now multiplying the highest exponent prime factors to calculate the LCM of 42444 and 42450.

LCM(42444,42450) = 2² × 3⁴ × 131¹ × 5² × 283¹
LCM(42444,42450) = 300291300