What is the Least Common Multiple of 63214 and 63228?

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 63228 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 63228, than apply into the LCM equation.

GCF(63214,63228) = 2
LCM(63214,63228) = ( 63214 × 63228) / 2
LCM(63214,63228) = 3996894792 / 2
LCM(63214,63228) = 1998447396

Least Common Multiple (LCM) of 63214 and 63228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63214 and 63228. First we will calculate the prime factors of 63214 and 63228.

Prime Factorization of 63214

Prime Factorization of 63228

Now multiplying the highest exponent prime factors to calculate the LCM of 63214 and 63228.

LCM(63214,63228) = 2² × 31607¹ × 3¹ × 11¹ × 479¹
LCM(63214,63228) = 1998447396