What is the Least Common Multiple of 63488 and 63493?

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 63488 and 63493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63488 and 63493, than apply into the LCM equation.

GCF(63488,63493) = 1
LCM(63488,63493) = ( 63488 × 63493) / 1
LCM(63488,63493) = 4031043584 / 1
LCM(63488,63493) = 4031043584

Least Common Multiple (LCM) of 63488 and 63493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63488 and 63493. First we will calculate the prime factors of 63488 and 63493.

Prime Factorization of 63488

Prime Factorization of 63493

Now multiplying the highest exponent prime factors to calculate the LCM of 63488 and 63493.

LCM(63488,63493) = 2¹¹ × 31¹ × 63493¹
LCM(63488,63493) = 4031043584