What is the Least Common Multiple of 7340 and 7345?

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 7340 and 7345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7345, than apply into the LCM equation.

GCF(7340,7345) = 5
LCM(7340,7345) = ( 7340 × 7345) / 5
LCM(7340,7345) = 53912300 / 5
LCM(7340,7345) = 10782460

Least Common Multiple (LCM) of 7340 and 7345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7340 and 7345. First we will calculate the prime factors of 7340 and 7345.

Prime Factorization of 7340

Prime Factorization of 7345

Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7345.

LCM(7340,7345) = 2² × 5¹ × 367¹ × 13¹ × 113¹
LCM(7340,7345) = 10782460