What is the Least Common Multiple of 63274 and 63282?

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 63274 and 63282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63274 and 63282, than apply into the LCM equation.

GCF(63274,63282) = 2
LCM(63274,63282) = ( 63274 × 63282) / 2
LCM(63274,63282) = 4004105268 / 2
LCM(63274,63282) = 2002052634

Least Common Multiple (LCM) of 63274 and 63282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63274 and 63282. First we will calculate the prime factors of 63274 and 63282.

Prime Factorization of 63274

Prime Factorization of 63282

Now multiplying the highest exponent prime factors to calculate the LCM of 63274 and 63282.

LCM(63274,63282) = 2¹ × 17¹ × 1861¹ × 3¹ × 53¹ × 199¹
LCM(63274,63282) = 2002052634