What is the Least Common Multiple of 48374 and 48385?

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 48374 and 48385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48374 and 48385, than apply into the LCM equation.

GCF(48374,48385) = 1
LCM(48374,48385) = ( 48374 × 48385) / 1
LCM(48374,48385) = 2340575990 / 1
LCM(48374,48385) = 2340575990

Least Common Multiple (LCM) of 48374 and 48385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48374 and 48385. First we will calculate the prime factors of 48374 and 48385.

Prime Factorization of 48374

Prime Factorization of 48385

Now multiplying the highest exponent prime factors to calculate the LCM of 48374 and 48385.

LCM(48374,48385) = 2¹ × 19² × 67¹ × 5¹ × 9677¹
LCM(48374,48385) = 2340575990