What is the Least Common Multiple of 89812 and 89819?

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 89812 and 89819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89812 and 89819, than apply into the LCM equation.

GCF(89812,89819) = 1
LCM(89812,89819) = ( 89812 × 89819) / 1
LCM(89812,89819) = 8066824028 / 1
LCM(89812,89819) = 8066824028

Least Common Multiple (LCM) of 89812 and 89819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89812 and 89819. First we will calculate the prime factors of 89812 and 89819.

Prime Factorization of 89812

Prime Factorization of 89819

Now multiplying the highest exponent prime factors to calculate the LCM of 89812 and 89819.

LCM(89812,89819) = 2² × 22453¹ × 89819¹
LCM(89812,89819) = 8066824028