What is the Least Common Multiple of 3100 and 3109?

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 3100 and 3109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3100 and 3109, than apply into the LCM equation.

GCF(3100,3109) = 1
LCM(3100,3109) = ( 3100 × 3109) / 1
LCM(3100,3109) = 9637900 / 1
LCM(3100,3109) = 9637900

Least Common Multiple (LCM) of 3100 and 3109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3100 and 3109. First we will calculate the prime factors of 3100 and 3109.

Prime Factorization of 3100

Prime Factorization of 3109

Now multiplying the highest exponent prime factors to calculate the LCM of 3100 and 3109.

LCM(3100,3109) = 2² × 5² × 31¹ × 3109¹
LCM(3100,3109) = 9637900