What is the Least Common Multiple of 63356 and 63376?

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 63356 and 63376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63356 and 63376, than apply into the LCM equation.

GCF(63356,63376) = 4
LCM(63356,63376) = ( 63356 × 63376) / 4
LCM(63356,63376) = 4015249856 / 4
LCM(63356,63376) = 1003812464

Least Common Multiple (LCM) of 63356 and 63376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63356 and 63376. First we will calculate the prime factors of 63356 and 63376.

Prime Factorization of 63356

Prime Factorization of 63376

Now multiplying the highest exponent prime factors to calculate the LCM of 63356 and 63376.

LCM(63356,63376) = 2⁴ × 47¹ × 337¹ × 17¹ × 233¹
LCM(63356,63376) = 1003812464