What is the Least Common Multiple of 23460 and 23474?

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 23460 and 23474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23460 and 23474, than apply into the LCM equation.

GCF(23460,23474) = 2
LCM(23460,23474) = ( 23460 × 23474) / 2
LCM(23460,23474) = 550700040 / 2
LCM(23460,23474) = 275350020

Least Common Multiple (LCM) of 23460 and 23474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23460 and 23474. First we will calculate the prime factors of 23460 and 23474.

Prime Factorization of 23460

Prime Factorization of 23474

Now multiplying the highest exponent prime factors to calculate the LCM of 23460 and 23474.

LCM(23460,23474) = 2² × 3¹ × 5¹ × 17¹ × 23¹ × 11² × 97¹
LCM(23460,23474) = 275350020