What is the Least Common Multiple of 48586 and 48603?

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 48586 and 48603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48586 and 48603, than apply into the LCM equation.

GCF(48586,48603) = 17
LCM(48586,48603) = ( 48586 × 48603) / 17
LCM(48586,48603) = 2361425358 / 17
LCM(48586,48603) = 138907374

Least Common Multiple (LCM) of 48586 and 48603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48586 and 48603. First we will calculate the prime factors of 48586 and 48603.

Prime Factorization of 48586

Prime Factorization of 48603

Now multiplying the highest exponent prime factors to calculate the LCM of 48586 and 48603.

LCM(48586,48603) = 2¹ × 17¹ × 1429¹ × 3¹ × 953¹
LCM(48586,48603) = 138907374