What is the Least Common Multiple of 63493 and 63498?

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 63493 and 63498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63493 and 63498, than apply into the LCM equation.

GCF(63493,63498) = 1
LCM(63493,63498) = ( 63493 × 63498) / 1
LCM(63493,63498) = 4031678514 / 1
LCM(63493,63498) = 4031678514

Least Common Multiple (LCM) of 63493 and 63498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63493 and 63498. First we will calculate the prime factors of 63493 and 63498.

Prime Factorization of 63493

Prime Factorization of 63498

Now multiplying the highest exponent prime factors to calculate the LCM of 63493 and 63498.

LCM(63493,63498) = 63493¹ × 2¹ × 3¹ × 19¹ × 557¹
LCM(63493,63498) = 4031678514