What is the Least Common Multiple of 48160 and 48176?

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 48160 and 48176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48160 and 48176, than apply into the LCM equation.

GCF(48160,48176) = 16
LCM(48160,48176) = ( 48160 × 48176) / 16
LCM(48160,48176) = 2320156160 / 16
LCM(48160,48176) = 145009760

Least Common Multiple (LCM) of 48160 and 48176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48160 and 48176. First we will calculate the prime factors of 48160 and 48176.

Prime Factorization of 48160

Prime Factorization of 48176

Now multiplying the highest exponent prime factors to calculate the LCM of 48160 and 48176.

LCM(48160,48176) = 2⁵ × 5¹ × 7¹ × 43¹ × 3011¹
LCM(48160,48176) = 145009760