What is the Least Common Multiple of 15934 and 15945?

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 15934 and 15945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15934 and 15945, than apply into the LCM equation.

GCF(15934,15945) = 1
LCM(15934,15945) = ( 15934 × 15945) / 1
LCM(15934,15945) = 254067630 / 1
LCM(15934,15945) = 254067630

Least Common Multiple (LCM) of 15934 and 15945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15934 and 15945. First we will calculate the prime factors of 15934 and 15945.

Prime Factorization of 15934

Prime Factorization of 15945

Now multiplying the highest exponent prime factors to calculate the LCM of 15934 and 15945.

LCM(15934,15945) = 2¹ × 31¹ × 257¹ × 3¹ × 5¹ × 1063¹
LCM(15934,15945) = 254067630