What is the Least Common Multiple of 10345 and 10360?

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 10345 and 10360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10345 and 10360, than apply into the LCM equation.

GCF(10345,10360) = 5
LCM(10345,10360) = ( 10345 × 10360) / 5
LCM(10345,10360) = 107174200 / 5
LCM(10345,10360) = 21434840

Least Common Multiple (LCM) of 10345 and 10360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10345 and 10360. First we will calculate the prime factors of 10345 and 10360.

Prime Factorization of 10345

Prime Factorization of 10360

Now multiplying the highest exponent prime factors to calculate the LCM of 10345 and 10360.

LCM(10345,10360) = 5¹ × 2069¹ × 2³ × 7¹ × 37¹
LCM(10345,10360) = 21434840