What is the Least Common Multiple of 63294 and 63298?

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 63294 and 63298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63294 and 63298, than apply into the LCM equation.

GCF(63294,63298) = 2
LCM(63294,63298) = ( 63294 × 63298) / 2
LCM(63294,63298) = 4006383612 / 2
LCM(63294,63298) = 2003191806

Least Common Multiple (LCM) of 63294 and 63298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63294 and 63298. First we will calculate the prime factors of 63294 and 63298.

Prime Factorization of 63294

Prime Factorization of 63298

Now multiplying the highest exponent prime factors to calculate the LCM of 63294 and 63298.

LCM(63294,63298) = 2¹ × 3¹ × 7¹ × 11¹ × 137¹ × 31649¹
LCM(63294,63298) = 2003191806