What is the Least Common Multiple of 63457 and 63467?

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 63457 and 63467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63457 and 63467, than apply into the LCM equation.

GCF(63457,63467) = 1
LCM(63457,63467) = ( 63457 × 63467) / 1
LCM(63457,63467) = 4027425419 / 1
LCM(63457,63467) = 4027425419

Least Common Multiple (LCM) of 63457 and 63467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63457 and 63467. First we will calculate the prime factors of 63457 and 63467.

Prime Factorization of 63457

Prime Factorization of 63467

Now multiplying the highest exponent prime factors to calculate the LCM of 63457 and 63467.

LCM(63457,63467) = 23¹ × 31¹ × 89¹ × 63467¹
LCM(63457,63467) = 4027425419