What is the Least Common Multiple of 84310 and 84315?

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 84310 and 84315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84310 and 84315, than apply into the LCM equation.

GCF(84310,84315) = 5
LCM(84310,84315) = ( 84310 × 84315) / 5
LCM(84310,84315) = 7108597650 / 5
LCM(84310,84315) = 1421719530

Least Common Multiple (LCM) of 84310 and 84315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84310 and 84315. First we will calculate the prime factors of 84310 and 84315.

Prime Factorization of 84310

Prime Factorization of 84315

Now multiplying the highest exponent prime factors to calculate the LCM of 84310 and 84315.

LCM(84310,84315) = 2¹ × 5¹ × 8431¹ × 3¹ × 7¹ × 11¹ × 73¹
LCM(84310,84315) = 1421719530