What is the Least Common Multiple of 47344 and 47364?

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 47344 and 47364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47344 and 47364, than apply into the LCM equation.

GCF(47344,47364) = 4
LCM(47344,47364) = ( 47344 × 47364) / 4
LCM(47344,47364) = 2242401216 / 4
LCM(47344,47364) = 560600304

Least Common Multiple (LCM) of 47344 and 47364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47344 and 47364. First we will calculate the prime factors of 47344 and 47364.

Prime Factorization of 47344

Prime Factorization of 47364

Now multiplying the highest exponent prime factors to calculate the LCM of 47344 and 47364.

LCM(47344,47364) = 2⁴ × 11¹ × 269¹ × 3¹ × 3947¹
LCM(47344,47364) = 560600304