What is the Least Common Multiple of 83812 and 83821?

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 83812 and 83821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83812 and 83821, than apply into the LCM equation.

GCF(83812,83821) = 1
LCM(83812,83821) = ( 83812 × 83821) / 1
LCM(83812,83821) = 7025205652 / 1
LCM(83812,83821) = 7025205652

Least Common Multiple (LCM) of 83812 and 83821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83812 and 83821. First we will calculate the prime factors of 83812 and 83821.

Prime Factorization of 83812

Prime Factorization of 83821

Now multiplying the highest exponent prime factors to calculate the LCM of 83812 and 83821.

LCM(83812,83821) = 2² × 23¹ × 911¹ × 109¹ × 769¹
LCM(83812,83821) = 7025205652