What is the Least Common Multiple of 7310 and 7330?

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 7310 and 7330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7310 and 7330, than apply into the LCM equation.

GCF(7310,7330) = 10
LCM(7310,7330) = ( 7310 × 7330) / 10
LCM(7310,7330) = 53582300 / 10
LCM(7310,7330) = 5358230

Least Common Multiple (LCM) of 7310 and 7330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7310 and 7330. First we will calculate the prime factors of 7310 and 7330.

Prime Factorization of 7310

Prime Factorization of 7330

Now multiplying the highest exponent prime factors to calculate the LCM of 7310 and 7330.

LCM(7310,7330) = 2¹ × 5¹ × 17¹ × 43¹ × 733¹
LCM(7310,7330) = 5358230