What is the Least Common Multiple of 13442 and 13450?

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 13442 and 13450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13442 and 13450, than apply into the LCM equation.

GCF(13442,13450) = 2
LCM(13442,13450) = ( 13442 × 13450) / 2
LCM(13442,13450) = 180794900 / 2
LCM(13442,13450) = 90397450

Least Common Multiple (LCM) of 13442 and 13450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13442 and 13450. First we will calculate the prime factors of 13442 and 13450.

Prime Factorization of 13442

Prime Factorization of 13450

Now multiplying the highest exponent prime factors to calculate the LCM of 13442 and 13450.

LCM(13442,13450) = 2¹ × 11¹ × 13¹ × 47¹ × 5² × 269¹
LCM(13442,13450) = 90397450