What is the Least Common Multiple of 84812 and 84826?

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 84812 and 84826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84812 and 84826, than apply into the LCM equation.

GCF(84812,84826) = 14
LCM(84812,84826) = ( 84812 × 84826) / 14
LCM(84812,84826) = 7194262712 / 14
LCM(84812,84826) = 513875908

Least Common Multiple (LCM) of 84812 and 84826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84812 and 84826. First we will calculate the prime factors of 84812 and 84826.

Prime Factorization of 84812

Prime Factorization of 84826

Now multiplying the highest exponent prime factors to calculate the LCM of 84812 and 84826.

LCM(84812,84826) = 2² × 7¹ × 13¹ × 233¹ × 73¹ × 83¹
LCM(84812,84826) = 513875908