What is the Least Common Multiple of 63298 and 63307?

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 63298 and 63307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63298 and 63307, than apply into the LCM equation.

GCF(63298,63307) = 1
LCM(63298,63307) = ( 63298 × 63307) / 1
LCM(63298,63307) = 4007206486 / 1
LCM(63298,63307) = 4007206486

Least Common Multiple (LCM) of 63298 and 63307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63298 and 63307. First we will calculate the prime factors of 63298 and 63307.

Prime Factorization of 63298

Prime Factorization of 63307

Now multiplying the highest exponent prime factors to calculate the LCM of 63298 and 63307.

LCM(63298,63307) = 2¹ × 31649¹ × 29¹ × 37¹ × 59¹
LCM(63298,63307) = 4007206486