What is the Least Common Multiple of 34280 and 34287?

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 34280 and 34287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34280 and 34287, than apply into the LCM equation.

GCF(34280,34287) = 1
LCM(34280,34287) = ( 34280 × 34287) / 1
LCM(34280,34287) = 1175358360 / 1
LCM(34280,34287) = 1175358360

Least Common Multiple (LCM) of 34280 and 34287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34280 and 34287. First we will calculate the prime factors of 34280 and 34287.

Prime Factorization of 34280

Prime Factorization of 34287

Now multiplying the highest exponent prime factors to calculate the LCM of 34280 and 34287.

LCM(34280,34287) = 2³ × 5¹ × 857¹ × 3¹ × 11¹ × 1039¹
LCM(34280,34287) = 1175358360