What is the Least Common Multiple of 48530 and 48548?

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 48530 and 48548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48530 and 48548, than apply into the LCM equation.

GCF(48530,48548) = 2
LCM(48530,48548) = ( 48530 × 48548) / 2
LCM(48530,48548) = 2356034440 / 2
LCM(48530,48548) = 1178017220

Least Common Multiple (LCM) of 48530 and 48548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48530 and 48548. First we will calculate the prime factors of 48530 and 48548.

Prime Factorization of 48530

Prime Factorization of 48548

Now multiplying the highest exponent prime factors to calculate the LCM of 48530 and 48548.

LCM(48530,48548) = 2² × 5¹ × 23¹ × 211¹ × 53¹ × 229¹
LCM(48530,48548) = 1178017220