What is the Least Common Multiple of 34087 and 34094?

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 34087 and 34094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34087 and 34094, than apply into the LCM equation.

GCF(34087,34094) = 1
LCM(34087,34094) = ( 34087 × 34094) / 1
LCM(34087,34094) = 1162162178 / 1
LCM(34087,34094) = 1162162178

Least Common Multiple (LCM) of 34087 and 34094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34087 and 34094. First we will calculate the prime factors of 34087 and 34094.

Prime Factorization of 34087

Prime Factorization of 34094

Now multiplying the highest exponent prime factors to calculate the LCM of 34087 and 34094.

LCM(34087,34094) = 89¹ × 383¹ × 2¹ × 17047¹
LCM(34087,34094) = 1162162178