What is the Least Common Multiple of 63406 and 63414?

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 63406 and 63414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63406 and 63414, than apply into the LCM equation.

GCF(63406,63414) = 2
LCM(63406,63414) = ( 63406 × 63414) / 2
LCM(63406,63414) = 4020828084 / 2
LCM(63406,63414) = 2010414042

Least Common Multiple (LCM) of 63406 and 63414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63406 and 63414. First we will calculate the prime factors of 63406 and 63414.

Prime Factorization of 63406

Prime Factorization of 63414

Now multiplying the highest exponent prime factors to calculate the LCM of 63406 and 63414.

LCM(63406,63414) = 2¹ × 7² × 647¹ × 3² × 13¹ × 271¹
LCM(63406,63414) = 2010414042