What is the Least Common Multiple of 63438 and 63447?

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 63438 and 63447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63438 and 63447, than apply into the LCM equation.

GCF(63438,63447) = 3
LCM(63438,63447) = ( 63438 × 63447) / 3
LCM(63438,63447) = 4024950786 / 3
LCM(63438,63447) = 1341650262

Least Common Multiple (LCM) of 63438 and 63447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63438 and 63447. First we will calculate the prime factors of 63438 and 63447.

Prime Factorization of 63438

Prime Factorization of 63447

Now multiplying the highest exponent prime factors to calculate the LCM of 63438 and 63447.

LCM(63438,63447) = 2¹ × 3¹ × 97¹ × 109¹ × 21149¹
LCM(63438,63447) = 1341650262