What is the Least Common Multiple of 48900 and 48905?

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 48900 and 48905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48900 and 48905, than apply into the LCM equation.

GCF(48900,48905) = 5
LCM(48900,48905) = ( 48900 × 48905) / 5
LCM(48900,48905) = 2391454500 / 5
LCM(48900,48905) = 478290900

Least Common Multiple (LCM) of 48900 and 48905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48900 and 48905. First we will calculate the prime factors of 48900 and 48905.

Prime Factorization of 48900

Prime Factorization of 48905

Now multiplying the highest exponent prime factors to calculate the LCM of 48900 and 48905.

LCM(48900,48905) = 2² × 3¹ × 5² × 163¹ × 9781¹
LCM(48900,48905) = 478290900