What is the Least Common Multiple of 63386 and 63406?

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 63386 and 63406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63386 and 63406, than apply into the LCM equation.

GCF(63386,63406) = 2
LCM(63386,63406) = ( 63386 × 63406) / 2
LCM(63386,63406) = 4019052716 / 2
LCM(63386,63406) = 2009526358

Least Common Multiple (LCM) of 63386 and 63406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63386 and 63406. First we will calculate the prime factors of 63386 and 63406.

Prime Factorization of 63386

Prime Factorization of 63406

Now multiplying the highest exponent prime factors to calculate the LCM of 63386 and 63406.

LCM(63386,63406) = 2¹ × 41¹ × 773¹ × 7² × 647¹
LCM(63386,63406) = 2009526358