What is the Least Common Multiple of 31317 and 31330?

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 31317 and 31330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31317 and 31330, than apply into the LCM equation.

GCF(31317,31330) = 13
LCM(31317,31330) = ( 31317 × 31330) / 13
LCM(31317,31330) = 981161610 / 13
LCM(31317,31330) = 75473970

Least Common Multiple (LCM) of 31317 and 31330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31317 and 31330. First we will calculate the prime factors of 31317 and 31330.

Prime Factorization of 31317

Prime Factorization of 31330

Now multiplying the highest exponent prime factors to calculate the LCM of 31317 and 31330.

LCM(31317,31330) = 3¹ × 11¹ × 13¹ × 73¹ × 2¹ × 5¹ × 241¹
LCM(31317,31330) = 75473970