What is the Least Common Multiple of 84294 and 84310?

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 84294 and 84310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84294 and 84310, than apply into the LCM equation.

GCF(84294,84310) = 2
LCM(84294,84310) = ( 84294 × 84310) / 2
LCM(84294,84310) = 7106827140 / 2
LCM(84294,84310) = 3553413570

Least Common Multiple (LCM) of 84294 and 84310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84294 and 84310. First we will calculate the prime factors of 84294 and 84310.

Prime Factorization of 84294

Prime Factorization of 84310

Now multiplying the highest exponent prime factors to calculate the LCM of 84294 and 84310.

LCM(84294,84310) = 2¹ × 3³ × 7¹ × 223¹ × 5¹ × 8431¹
LCM(84294,84310) = 3553413570