What is the Least Common Multiple of 23590 and 23608?

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 23590 and 23608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23590 and 23608, than apply into the LCM equation.

GCF(23590,23608) = 2
LCM(23590,23608) = ( 23590 × 23608) / 2
LCM(23590,23608) = 556912720 / 2
LCM(23590,23608) = 278456360

Least Common Multiple (LCM) of 23590 and 23608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23590 and 23608. First we will calculate the prime factors of 23590 and 23608.

Prime Factorization of 23590

Prime Factorization of 23608

Now multiplying the highest exponent prime factors to calculate the LCM of 23590 and 23608.

LCM(23590,23608) = 2³ × 5¹ × 7¹ × 337¹ × 13¹ × 227¹
LCM(23590,23608) = 278456360