What is the Least Common Multiple of 63214 and 63234?

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 63234 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 63234, than apply into the LCM equation.

GCF(63214,63234) = 2
LCM(63214,63234) = ( 63214 × 63234) / 2
LCM(63214,63234) = 3997274076 / 2
LCM(63214,63234) = 1998637038

Least Common Multiple (LCM) of 63214 and 63234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63214 and 63234. First we will calculate the prime factors of 63214 and 63234.

Prime Factorization of 63214

Prime Factorization of 63234

Now multiplying the highest exponent prime factors to calculate the LCM of 63214 and 63234.

LCM(63214,63234) = 2¹ × 31607¹ × 3³ × 1171¹
LCM(63214,63234) = 1998637038