What is the Least Common Multiple of 63438 and 63448?

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 63448 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 63448, than apply into the LCM equation.

GCF(63438,63448) = 2
LCM(63438,63448) = ( 63438 × 63448) / 2
LCM(63438,63448) = 4025014224 / 2
LCM(63438,63448) = 2012507112

Least Common Multiple (LCM) of 63438 and 63448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63438 and 63448. First we will calculate the prime factors of 63438 and 63448.

Prime Factorization of 63438

Prime Factorization of 63448

Now multiplying the highest exponent prime factors to calculate the LCM of 63438 and 63448.

LCM(63438,63448) = 2³ × 3¹ × 97¹ × 109¹ × 7¹ × 11¹ × 103¹
LCM(63438,63448) = 2012507112