What is the Least Common Multiple of 23520 and 23540?

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 23520 and 23540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23520 and 23540, than apply into the LCM equation.

GCF(23520,23540) = 20
LCM(23520,23540) = ( 23520 × 23540) / 20
LCM(23520,23540) = 553660800 / 20
LCM(23520,23540) = 27683040

Least Common Multiple (LCM) of 23520 and 23540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23520 and 23540. First we will calculate the prime factors of 23520 and 23540.

Prime Factorization of 23520

Prime Factorization of 23540

Now multiplying the highest exponent prime factors to calculate the LCM of 23520 and 23540.

LCM(23520,23540) = 2⁵ × 3¹ × 5¹ × 7² × 11¹ × 107¹
LCM(23520,23540) = 27683040