What is the Least Common Multiple of 63498 and 63507?

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 63498 and 63507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63498 and 63507, than apply into the LCM equation.

GCF(63498,63507) = 3
LCM(63498,63507) = ( 63498 × 63507) / 3
LCM(63498,63507) = 4032567486 / 3
LCM(63498,63507) = 1344189162

Least Common Multiple (LCM) of 63498 and 63507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63498 and 63507. First we will calculate the prime factors of 63498 and 63507.

Prime Factorization of 63498

Prime Factorization of 63507

Now multiplying the highest exponent prime factors to calculate the LCM of 63498 and 63507.

LCM(63498,63507) = 2¹ × 3¹ × 19¹ × 557¹ × 21169¹
LCM(63498,63507) = 1344189162