What is the Least Common Multiple of 63314 and 63334?

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 63314 and 63334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63314 and 63334, than apply into the LCM equation.

GCF(63314,63334) = 2
LCM(63314,63334) = ( 63314 × 63334) / 2
LCM(63314,63334) = 4009928876 / 2
LCM(63314,63334) = 2004964438

Least Common Multiple (LCM) of 63314 and 63334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63314 and 63334. First we will calculate the prime factors of 63314 and 63334.

Prime Factorization of 63314

Prime Factorization of 63334

Now multiplying the highest exponent prime factors to calculate the LCM of 63314 and 63334.

LCM(63314,63334) = 2¹ × 31657¹ × 31667¹
LCM(63314,63334) = 2004964438