What is the Least Common Multiple of 23452 and 23460?

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 23452 and 23460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23452 and 23460, than apply into the LCM equation.

GCF(23452,23460) = 4
LCM(23452,23460) = ( 23452 × 23460) / 4
LCM(23452,23460) = 550183920 / 4
LCM(23452,23460) = 137545980

Least Common Multiple (LCM) of 23452 and 23460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23452 and 23460. First we will calculate the prime factors of 23452 and 23460.

Prime Factorization of 23452

Prime Factorization of 23460

Now multiplying the highest exponent prime factors to calculate the LCM of 23452 and 23460.

LCM(23452,23460) = 2² × 11¹ × 13¹ × 41¹ × 3¹ × 5¹ × 17¹ × 23¹
LCM(23452,23460) = 137545980