What is the Least Common Multiple of 13932 and 13945?

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 13932 and 13945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13932 and 13945, than apply into the LCM equation.

GCF(13932,13945) = 1
LCM(13932,13945) = ( 13932 × 13945) / 1
LCM(13932,13945) = 194281740 / 1
LCM(13932,13945) = 194281740

Least Common Multiple (LCM) of 13932 and 13945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13932 and 13945. First we will calculate the prime factors of 13932 and 13945.

Prime Factorization of 13932

Prime Factorization of 13945

Now multiplying the highest exponent prime factors to calculate the LCM of 13932 and 13945.

LCM(13932,13945) = 2² × 3⁴ × 43¹ × 5¹ × 2789¹
LCM(13932,13945) = 194281740