What is the Least Common Multiple of 34076 and 34093?

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 34076 and 34093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34076 and 34093, than apply into the LCM equation.

GCF(34076,34093) = 1
LCM(34076,34093) = ( 34076 × 34093) / 1
LCM(34076,34093) = 1161753068 / 1
LCM(34076,34093) = 1161753068

Least Common Multiple (LCM) of 34076 and 34093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34076 and 34093. First we will calculate the prime factors of 34076 and 34093.

Prime Factorization of 34076

Prime Factorization of 34093

Now multiplying the highest exponent prime factors to calculate the LCM of 34076 and 34093.

LCM(34076,34093) = 2² × 7¹ × 1217¹ × 103¹ × 331¹
LCM(34076,34093) = 1161753068