What is the Least Common Multiple of 48348 and 48364?

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 48348 and 48364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48348 and 48364, than apply into the LCM equation.

GCF(48348,48364) = 4
LCM(48348,48364) = ( 48348 × 48364) / 4
LCM(48348,48364) = 2338302672 / 4
LCM(48348,48364) = 584575668

Least Common Multiple (LCM) of 48348 and 48364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48348 and 48364. First we will calculate the prime factors of 48348 and 48364.

Prime Factorization of 48348

Prime Factorization of 48364

Now multiplying the highest exponent prime factors to calculate the LCM of 48348 and 48364.

LCM(48348,48364) = 2² × 3² × 17¹ × 79¹ × 107¹ × 113¹
LCM(48348,48364) = 584575668