What is the Least Common Multiple of 63419 and 63430?

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 63419 and 63430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63419 and 63430, than apply into the LCM equation.

GCF(63419,63430) = 1
LCM(63419,63430) = ( 63419 × 63430) / 1
LCM(63419,63430) = 4022667170 / 1
LCM(63419,63430) = 4022667170

Least Common Multiple (LCM) of 63419 and 63430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63419 and 63430. First we will calculate the prime factors of 63419 and 63430.

Prime Factorization of 63419

Prime Factorization of 63430

Now multiplying the highest exponent prime factors to calculate the LCM of 63419 and 63430.

LCM(63419,63430) = 63419¹ × 2¹ × 5¹ × 6343¹
LCM(63419,63430) = 4022667170