What is the Least Common Multiple of 13660 and 13672?

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 13660 and 13672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13660 and 13672, than apply into the LCM equation.

GCF(13660,13672) = 4
LCM(13660,13672) = ( 13660 × 13672) / 4
LCM(13660,13672) = 186759520 / 4
LCM(13660,13672) = 46689880

Least Common Multiple (LCM) of 13660 and 13672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13660 and 13672. First we will calculate the prime factors of 13660 and 13672.

Prime Factorization of 13660

Prime Factorization of 13672

Now multiplying the highest exponent prime factors to calculate the LCM of 13660 and 13672.

LCM(13660,13672) = 2³ × 5¹ × 683¹ × 1709¹
LCM(13660,13672) = 46689880