What is the Least Common Multiple of 6444 and 6453?

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 6444 and 6453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6444 and 6453, than apply into the LCM equation.

GCF(6444,6453) = 9
LCM(6444,6453) = ( 6444 × 6453) / 9
LCM(6444,6453) = 41583132 / 9
LCM(6444,6453) = 4620348

Least Common Multiple (LCM) of 6444 and 6453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6444 and 6453. First we will calculate the prime factors of 6444 and 6453.

Prime Factorization of 6444

Prime Factorization of 6453

Now multiplying the highest exponent prime factors to calculate the LCM of 6444 and 6453.

LCM(6444,6453) = 2² × 3³ × 179¹ × 239¹
LCM(6444,6453) = 4620348