What is the Least Common Multiple of 63297 and 63310?

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 63297 and 63310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63297 and 63310, than apply into the LCM equation.

GCF(63297,63310) = 13
LCM(63297,63310) = ( 63297 × 63310) / 13
LCM(63297,63310) = 4007333070 / 13
LCM(63297,63310) = 308256390

Least Common Multiple (LCM) of 63297 and 63310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63297 and 63310. First we will calculate the prime factors of 63297 and 63310.

Prime Factorization of 63297

Prime Factorization of 63310

Now multiplying the highest exponent prime factors to calculate the LCM of 63297 and 63310.

LCM(63297,63310) = 3² × 13¹ × 541¹ × 2¹ × 5¹ × 487¹
LCM(63297,63310) = 308256390