What is the Least Common Multiple of 63474 and 63489?

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 63474 and 63489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63474 and 63489, than apply into the LCM equation.

GCF(63474,63489) = 3
LCM(63474,63489) = ( 63474 × 63489) / 3
LCM(63474,63489) = 4029900786 / 3
LCM(63474,63489) = 1343300262

Least Common Multiple (LCM) of 63474 and 63489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63474 and 63489. First we will calculate the prime factors of 63474 and 63489.

Prime Factorization of 63474

Prime Factorization of 63489

Now multiplying the highest exponent prime factors to calculate the LCM of 63474 and 63489.

LCM(63474,63489) = 2¹ × 3¹ × 71¹ × 149¹ × 21163¹
LCM(63474,63489) = 1343300262