What is the Least Common Multiple of 13645 and 13660?

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 13645 and 13660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13645 and 13660, than apply into the LCM equation.

GCF(13645,13660) = 5
LCM(13645,13660) = ( 13645 × 13660) / 5
LCM(13645,13660) = 186390700 / 5
LCM(13645,13660) = 37278140

Least Common Multiple (LCM) of 13645 and 13660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13645 and 13660. First we will calculate the prime factors of 13645 and 13660.

Prime Factorization of 13645

Prime Factorization of 13660

Now multiplying the highest exponent prime factors to calculate the LCM of 13645 and 13660.

LCM(13645,13660) = 5¹ × 2729¹ × 2² × 683¹
LCM(13645,13660) = 37278140