What is the Least Common Multiple of 63234 and 63254?

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 63234 and 63254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63234 and 63254, than apply into the LCM equation.

GCF(63234,63254) = 2
LCM(63234,63254) = ( 63234 × 63254) / 2
LCM(63234,63254) = 3999803436 / 2
LCM(63234,63254) = 1999901718

Least Common Multiple (LCM) of 63234 and 63254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63234 and 63254. First we will calculate the prime factors of 63234 and 63254.

Prime Factorization of 63234

Prime Factorization of 63254

Now multiplying the highest exponent prime factors to calculate the LCM of 63234 and 63254.

LCM(63234,63254) = 2¹ × 3³ × 1171¹ × 31627¹
LCM(63234,63254) = 1999901718