What is the Least Common Multiple of 71574 and 71585?

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 71574 and 71585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71574 and 71585, than apply into the LCM equation.

GCF(71574,71585) = 1
LCM(71574,71585) = ( 71574 × 71585) / 1
LCM(71574,71585) = 5123624790 / 1
LCM(71574,71585) = 5123624790

Least Common Multiple (LCM) of 71574 and 71585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71574 and 71585. First we will calculate the prime factors of 71574 and 71585.

Prime Factorization of 71574

Prime Factorization of 71585

Now multiplying the highest exponent prime factors to calculate the LCM of 71574 and 71585.

LCM(71574,71585) = 2¹ × 3¹ × 79¹ × 151¹ × 5¹ × 103¹ × 139¹
LCM(71574,71585) = 5123624790