What is the Least Common Multiple of 63336 and 63343?

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 63336 and 63343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63336 and 63343, than apply into the LCM equation.

GCF(63336,63343) = 7
LCM(63336,63343) = ( 63336 × 63343) / 7
LCM(63336,63343) = 4011892248 / 7
LCM(63336,63343) = 573127464

Least Common Multiple (LCM) of 63336 and 63343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63336 and 63343. First we will calculate the prime factors of 63336 and 63343.

Prime Factorization of 63336

Prime Factorization of 63343

Now multiplying the highest exponent prime factors to calculate the LCM of 63336 and 63343.

LCM(63336,63343) = 2³ × 3¹ × 7¹ × 13¹ × 29¹ × 9049¹
LCM(63336,63343) = 573127464