What is the Least Common Multiple of 48176 and 48180?

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 48176 and 48180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48176 and 48180, than apply into the LCM equation.

GCF(48176,48180) = 4
LCM(48176,48180) = ( 48176 × 48180) / 4
LCM(48176,48180) = 2321119680 / 4
LCM(48176,48180) = 580279920

Least Common Multiple (LCM) of 48176 and 48180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48176 and 48180. First we will calculate the prime factors of 48176 and 48180.

Prime Factorization of 48176

Prime Factorization of 48180

Now multiplying the highest exponent prime factors to calculate the LCM of 48176 and 48180.

LCM(48176,48180) = 2⁴ × 3011¹ × 3¹ × 5¹ × 11¹ × 73¹
LCM(48176,48180) = 580279920