What is the Least Common Multiple of 13560 and 13570?

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 13560 and 13570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13560 and 13570, than apply into the LCM equation.

GCF(13560,13570) = 10
LCM(13560,13570) = ( 13560 × 13570) / 10
LCM(13560,13570) = 184009200 / 10
LCM(13560,13570) = 18400920

Least Common Multiple (LCM) of 13560 and 13570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13560 and 13570. First we will calculate the prime factors of 13560 and 13570.

Prime Factorization of 13560

Prime Factorization of 13570

Now multiplying the highest exponent prime factors to calculate the LCM of 13560 and 13570.

LCM(13560,13570) = 2³ × 3¹ × 5¹ × 113¹ × 23¹ × 59¹
LCM(13560,13570) = 18400920