What is the Least Common Multiple of 63330 and 63348?

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 63330 and 63348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63330 and 63348, than apply into the LCM equation.

GCF(63330,63348) = 6
LCM(63330,63348) = ( 63330 × 63348) / 6
LCM(63330,63348) = 4011828840 / 6
LCM(63330,63348) = 668638140

Least Common Multiple (LCM) of 63330 and 63348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63330 and 63348. First we will calculate the prime factors of 63330 and 63348.

Prime Factorization of 63330

Prime Factorization of 63348

Now multiplying the highest exponent prime factors to calculate the LCM of 63330 and 63348.

LCM(63330,63348) = 2² × 3¹ × 5¹ × 2111¹ × 5279¹
LCM(63330,63348) = 668638140