What is the Least Common Multiple of 3130 and 3147?

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 3130 and 3147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3130 and 3147, than apply into the LCM equation.

GCF(3130,3147) = 1
LCM(3130,3147) = ( 3130 × 3147) / 1
LCM(3130,3147) = 9850110 / 1
LCM(3130,3147) = 9850110

Least Common Multiple (LCM) of 3130 and 3147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3130 and 3147. First we will calculate the prime factors of 3130 and 3147.

Prime Factorization of 3130

Prime Factorization of 3147

Now multiplying the highest exponent prime factors to calculate the LCM of 3130 and 3147.

LCM(3130,3147) = 2¹ × 5¹ × 313¹ × 3¹ × 1049¹
LCM(3130,3147) = 9850110