What is the Least Common Multiple of 84882 and 84890?

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 84882 and 84890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84882 and 84890, than apply into the LCM equation.

GCF(84882,84890) = 2
LCM(84882,84890) = ( 84882 × 84890) / 2
LCM(84882,84890) = 7205632980 / 2
LCM(84882,84890) = 3602816490

Least Common Multiple (LCM) of 84882 and 84890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84882 and 84890. First we will calculate the prime factors of 84882 and 84890.

Prime Factorization of 84882

Prime Factorization of 84890

Now multiplying the highest exponent prime factors to calculate the LCM of 84882 and 84890.

LCM(84882,84890) = 2¹ × 3¹ × 7¹ × 43¹ × 47¹ × 5¹ × 13¹ × 653¹
LCM(84882,84890) = 3602816490