What is the Least Common Multiple of 16642 and 16660?

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 16642 and 16660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16642 and 16660, than apply into the LCM equation.

GCF(16642,16660) = 2
LCM(16642,16660) = ( 16642 × 16660) / 2
LCM(16642,16660) = 277255720 / 2
LCM(16642,16660) = 138627860

Least Common Multiple (LCM) of 16642 and 16660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16642 and 16660. First we will calculate the prime factors of 16642 and 16660.

Prime Factorization of 16642

Prime Factorization of 16660

Now multiplying the highest exponent prime factors to calculate the LCM of 16642 and 16660.

LCM(16642,16660) = 2² × 53¹ × 157¹ × 5¹ × 7² × 17¹
LCM(16642,16660) = 138627860