What is the Least Common Multiple of 48575 and 48582?

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 48575 and 48582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48575 and 48582, than apply into the LCM equation.

GCF(48575,48582) = 1
LCM(48575,48582) = ( 48575 × 48582) / 1
LCM(48575,48582) = 2359870650 / 1
LCM(48575,48582) = 2359870650

Least Common Multiple (LCM) of 48575 and 48582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48575 and 48582. First we will calculate the prime factors of 48575 and 48582.

Prime Factorization of 48575

Prime Factorization of 48582

Now multiplying the highest exponent prime factors to calculate the LCM of 48575 and 48582.

LCM(48575,48582) = 5² × 29¹ × 67¹ × 2¹ × 3² × 2699¹
LCM(48575,48582) = 2359870650