What is the Least Common Multiple of 48005 and 48010?

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 48005 and 48010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48005 and 48010, than apply into the LCM equation.

GCF(48005,48010) = 5
LCM(48005,48010) = ( 48005 × 48010) / 5
LCM(48005,48010) = 2304720050 / 5
LCM(48005,48010) = 460944010

Least Common Multiple (LCM) of 48005 and 48010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48005 and 48010. First we will calculate the prime factors of 48005 and 48010.

Prime Factorization of 48005

Prime Factorization of 48010

Now multiplying the highest exponent prime factors to calculate the LCM of 48005 and 48010.

LCM(48005,48010) = 5¹ × 9601¹ × 2¹ × 4801¹
LCM(48005,48010) = 460944010