What is the Least Common Multiple of 48320 and 48335?

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 48320 and 48335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48320 and 48335, than apply into the LCM equation.

GCF(48320,48335) = 5
LCM(48320,48335) = ( 48320 × 48335) / 5
LCM(48320,48335) = 2335547200 / 5
LCM(48320,48335) = 467109440

Least Common Multiple (LCM) of 48320 and 48335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48320 and 48335. First we will calculate the prime factors of 48320 and 48335.

Prime Factorization of 48320

Prime Factorization of 48335

Now multiplying the highest exponent prime factors to calculate the LCM of 48320 and 48335.

LCM(48320,48335) = 2⁶ × 5¹ × 151¹ × 7¹ × 1381¹
LCM(48320,48335) = 467109440