What is the Least Common Multiple of 34100 and 34107?

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 34100 and 34107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34100 and 34107, than apply into the LCM equation.

GCF(34100,34107) = 1
LCM(34100,34107) = ( 34100 × 34107) / 1
LCM(34100,34107) = 1163048700 / 1
LCM(34100,34107) = 1163048700

Least Common Multiple (LCM) of 34100 and 34107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34100 and 34107. First we will calculate the prime factors of 34100 and 34107.

Prime Factorization of 34100

Prime Factorization of 34107

Now multiplying the highest exponent prime factors to calculate the LCM of 34100 and 34107.

LCM(34100,34107) = 2² × 5² × 11¹ × 31¹ × 3¹ × 11369¹
LCM(34100,34107) = 1163048700