What is the Least Common Multiple of 23574 and 23590?

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 23574 and 23590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23574 and 23590, than apply into the LCM equation.

GCF(23574,23590) = 2
LCM(23574,23590) = ( 23574 × 23590) / 2
LCM(23574,23590) = 556110660 / 2
LCM(23574,23590) = 278055330

Least Common Multiple (LCM) of 23574 and 23590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23574 and 23590. First we will calculate the prime factors of 23574 and 23590.

Prime Factorization of 23574

Prime Factorization of 23590

Now multiplying the highest exponent prime factors to calculate the LCM of 23574 and 23590.

LCM(23574,23590) = 2¹ × 3¹ × 3929¹ × 5¹ × 7¹ × 337¹
LCM(23574,23590) = 278055330