What is the Least Common Multiple of 63214 and 63218?

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 63214 and 63218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63214 and 63218, than apply into the LCM equation.

GCF(63214,63218) = 2
LCM(63214,63218) = ( 63214 × 63218) / 2
LCM(63214,63218) = 3996262652 / 2
LCM(63214,63218) = 1998131326

Least Common Multiple (LCM) of 63214 and 63218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63214 and 63218. First we will calculate the prime factors of 63214 and 63218.

Prime Factorization of 63214

Prime Factorization of 63218

Now multiplying the highest exponent prime factors to calculate the LCM of 63214 and 63218.

LCM(63214,63218) = 2¹ × 31607¹ × 73¹ × 433¹
LCM(63214,63218) = 1998131326