What is the Least Common Multiple of 63466 and 63482?

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 63466 and 63482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63466 and 63482, than apply into the LCM equation.

GCF(63466,63482) = 2
LCM(63466,63482) = ( 63466 × 63482) / 2
LCM(63466,63482) = 4028948612 / 2
LCM(63466,63482) = 2014474306

Least Common Multiple (LCM) of 63466 and 63482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63466 and 63482. First we will calculate the prime factors of 63466 and 63482.

Prime Factorization of 63466

Prime Factorization of 63482

Now multiplying the highest exponent prime factors to calculate the LCM of 63466 and 63482.

LCM(63466,63482) = 2¹ × 13¹ × 2441¹ × 31741¹
LCM(63466,63482) = 2014474306