What is the Least Common Multiple of 13628 and 13642?

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 13628 and 13642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13628 and 13642, than apply into the LCM equation.

GCF(13628,13642) = 2
LCM(13628,13642) = ( 13628 × 13642) / 2
LCM(13628,13642) = 185913176 / 2
LCM(13628,13642) = 92956588

Least Common Multiple (LCM) of 13628 and 13642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13628 and 13642. First we will calculate the prime factors of 13628 and 13642.

Prime Factorization of 13628

Prime Factorization of 13642

Now multiplying the highest exponent prime factors to calculate the LCM of 13628 and 13642.

LCM(13628,13642) = 2² × 3407¹ × 19¹ × 359¹
LCM(13628,13642) = 92956588