What is the Least Common Multiple of 1310 and 1330?

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 1310 and 1330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1310 and 1330, than apply into the LCM equation.

GCF(1310,1330) = 10
LCM(1310,1330) = ( 1310 × 1330) / 10
LCM(1310,1330) = 1742300 / 10
LCM(1310,1330) = 174230

Least Common Multiple (LCM) of 1310 and 1330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1310 and 1330. First we will calculate the prime factors of 1310 and 1330.

Prime Factorization of 1310

Prime Factorization of 1330

Now multiplying the highest exponent prime factors to calculate the LCM of 1310 and 1330.

LCM(1310,1330) = 2¹ × 5¹ × 131¹ × 7¹ × 19¹
LCM(1310,1330) = 174230