What is the Least Common Multiple of 34078 and 34085?

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 34078 and 34085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34078 and 34085, than apply into the LCM equation.

GCF(34078,34085) = 1
LCM(34078,34085) = ( 34078 × 34085) / 1
LCM(34078,34085) = 1161548630 / 1
LCM(34078,34085) = 1161548630

Least Common Multiple (LCM) of 34078 and 34085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34078 and 34085. First we will calculate the prime factors of 34078 and 34085.

Prime Factorization of 34078

Prime Factorization of 34085

Now multiplying the highest exponent prime factors to calculate the LCM of 34078 and 34085.

LCM(34078,34085) = 2¹ × 11¹ × 1549¹ × 5¹ × 17¹ × 401¹
LCM(34078,34085) = 1161548630