What is the Least Common Multiple of 63444 and 63453?

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 63444 and 63453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63444 and 63453, than apply into the LCM equation.

GCF(63444,63453) = 3
LCM(63444,63453) = ( 63444 × 63453) / 3
LCM(63444,63453) = 4025712132 / 3
LCM(63444,63453) = 1341904044

Least Common Multiple (LCM) of 63444 and 63453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63444 and 63453. First we will calculate the prime factors of 63444 and 63453.

Prime Factorization of 63444

Prime Factorization of 63453

Now multiplying the highest exponent prime factors to calculate the LCM of 63444 and 63453.

LCM(63444,63453) = 2² × 3¹ × 17¹ × 311¹ × 13¹ × 1627¹
LCM(63444,63453) = 1341904044