What is the Least Common Multiple of 63142 and 63146?

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 63142 and 63146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63142 and 63146, than apply into the LCM equation.

GCF(63142,63146) = 2
LCM(63142,63146) = ( 63142 × 63146) / 2
LCM(63142,63146) = 3987164732 / 2
LCM(63142,63146) = 1993582366

Least Common Multiple (LCM) of 63142 and 63146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63142 and 63146. First we will calculate the prime factors of 63142 and 63146.

Prime Factorization of 63142

Prime Factorization of 63146

Now multiplying the highest exponent prime factors to calculate the LCM of 63142 and 63146.

LCM(63142,63146) = 2¹ × 131¹ × 241¹ × 31573¹
LCM(63142,63146) = 1993582366