What is the Least Common Multiple of 23080 and 23090?

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 23080 and 23090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23080 and 23090, than apply into the LCM equation.

GCF(23080,23090) = 10
LCM(23080,23090) = ( 23080 × 23090) / 10
LCM(23080,23090) = 532917200 / 10
LCM(23080,23090) = 53291720

Least Common Multiple (LCM) of 23080 and 23090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23080 and 23090. First we will calculate the prime factors of 23080 and 23090.

Prime Factorization of 23080

Prime Factorization of 23090

Now multiplying the highest exponent prime factors to calculate the LCM of 23080 and 23090.

LCM(23080,23090) = 2³ × 5¹ × 577¹ × 2309¹
LCM(23080,23090) = 53291720