What is the Least Common Multiple of 2354 and 2365?

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 2354 and 2365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2354 and 2365, than apply into the LCM equation.

GCF(2354,2365) = 11
LCM(2354,2365) = ( 2354 × 2365) / 11
LCM(2354,2365) = 5567210 / 11
LCM(2354,2365) = 506110

Least Common Multiple (LCM) of 2354 and 2365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2354 and 2365. First we will calculate the prime factors of 2354 and 2365.

Prime Factorization of 2354

Prime Factorization of 2365

Now multiplying the highest exponent prime factors to calculate the LCM of 2354 and 2365.

LCM(2354,2365) = 2¹ × 11¹ × 107¹ × 5¹ × 43¹
LCM(2354,2365) = 506110