What is the Least Common Multiple of 63407 and 63413?

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 63407 and 63413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63407 and 63413, than apply into the LCM equation.

GCF(63407,63413) = 1
LCM(63407,63413) = ( 63407 × 63413) / 1
LCM(63407,63413) = 4020828091 / 1
LCM(63407,63413) = 4020828091

Least Common Multiple (LCM) of 63407 and 63413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63407 and 63413. First we will calculate the prime factors of 63407 and 63413.

Prime Factorization of 63407

Prime Factorization of 63413

Now multiplying the highest exponent prime factors to calculate the LCM of 63407 and 63413.

LCM(63407,63413) = 163¹ × 389¹ × 7¹ × 9059¹
LCM(63407,63413) = 4020828091