What is the Least Common Multiple of 23540 and 23558?

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 23540 and 23558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23540 and 23558, than apply into the LCM equation.

GCF(23540,23558) = 2
LCM(23540,23558) = ( 23540 × 23558) / 2
LCM(23540,23558) = 554555320 / 2
LCM(23540,23558) = 277277660

Least Common Multiple (LCM) of 23540 and 23558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23540 and 23558. First we will calculate the prime factors of 23540 and 23558.

Prime Factorization of 23540

Prime Factorization of 23558

Now multiplying the highest exponent prime factors to calculate the LCM of 23540 and 23558.

LCM(23540,23558) = 2² × 5¹ × 11¹ × 107¹ × 11779¹
LCM(23540,23558) = 277277660