What is the Least Common Multiple of 42438 and 42453?

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 42438 and 42453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42438 and 42453, than apply into the LCM equation.

GCF(42438,42453) = 3
LCM(42438,42453) = ( 42438 × 42453) / 3
LCM(42438,42453) = 1801620414 / 3
LCM(42438,42453) = 600540138

Least Common Multiple (LCM) of 42438 and 42453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42438 and 42453. First we will calculate the prime factors of 42438 and 42453.

Prime Factorization of 42438

Prime Factorization of 42453

Now multiplying the highest exponent prime factors to calculate the LCM of 42438 and 42453.

LCM(42438,42453) = 2¹ × 3² × 11¹ × 643¹ × 53¹ × 89¹
LCM(42438,42453) = 600540138