What is the Least Common Multiple of 10360 and 10378?

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 10360 and 10378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10360 and 10378, than apply into the LCM equation.

GCF(10360,10378) = 2
LCM(10360,10378) = ( 10360 × 10378) / 2
LCM(10360,10378) = 107516080 / 2
LCM(10360,10378) = 53758040

Least Common Multiple (LCM) of 10360 and 10378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10360 and 10378. First we will calculate the prime factors of 10360 and 10378.

Prime Factorization of 10360

Prime Factorization of 10378

Now multiplying the highest exponent prime factors to calculate the LCM of 10360 and 10378.

LCM(10360,10378) = 2³ × 5¹ × 7¹ × 37¹ × 5189¹
LCM(10360,10378) = 53758040