What is the Least Common Multiple of 13570 and 13575?

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 13570 and 13575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13570 and 13575, than apply into the LCM equation.

GCF(13570,13575) = 5
LCM(13570,13575) = ( 13570 × 13575) / 5
LCM(13570,13575) = 184212750 / 5
LCM(13570,13575) = 36842550

Least Common Multiple (LCM) of 13570 and 13575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13570 and 13575. First we will calculate the prime factors of 13570 and 13575.

Prime Factorization of 13570

Prime Factorization of 13575

Now multiplying the highest exponent prime factors to calculate the LCM of 13570 and 13575.

LCM(13570,13575) = 2¹ × 5² × 23¹ × 59¹ × 3¹ × 181¹
LCM(13570,13575) = 36842550