What is the Least Common Multiple of 63320 and 63338?

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 63320 and 63338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63320 and 63338, than apply into the LCM equation.

GCF(63320,63338) = 2
LCM(63320,63338) = ( 63320 × 63338) / 2
LCM(63320,63338) = 4010562160 / 2
LCM(63320,63338) = 2005281080

Least Common Multiple (LCM) of 63320 and 63338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63320 and 63338. First we will calculate the prime factors of 63320 and 63338.

Prime Factorization of 63320

Prime Factorization of 63338

Now multiplying the highest exponent prime factors to calculate the LCM of 63320 and 63338.

LCM(63320,63338) = 2³ × 5¹ × 1583¹ × 11¹ × 2879¹
LCM(63320,63338) = 2005281080