What is the Least Common Multiple of 63348 and 63362?

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 63348 and 63362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63348 and 63362, than apply into the LCM equation.

GCF(63348,63362) = 2
LCM(63348,63362) = ( 63348 × 63362) / 2
LCM(63348,63362) = 4013855976 / 2
LCM(63348,63362) = 2006927988

Least Common Multiple (LCM) of 63348 and 63362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63348 and 63362. First we will calculate the prime factors of 63348 and 63362.

Prime Factorization of 63348

Prime Factorization of 63362

Now multiplying the highest exponent prime factors to calculate the LCM of 63348 and 63362.

LCM(63348,63362) = 2² × 3¹ × 5279¹ × 13¹ × 2437¹
LCM(63348,63362) = 2006927988