What is the Least Common Multiple of 85786 and 85798?

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 85786 and 85798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85786 and 85798, than apply into the LCM equation.

GCF(85786,85798) = 2
LCM(85786,85798) = ( 85786 × 85798) / 2
LCM(85786,85798) = 7360267228 / 2
LCM(85786,85798) = 3680133614

Least Common Multiple (LCM) of 85786 and 85798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85786 and 85798. First we will calculate the prime factors of 85786 and 85798.

Prime Factorization of 85786

Prime Factorization of 85798

Now multiplying the highest exponent prime factors to calculate the LCM of 85786 and 85798.

LCM(85786,85798) = 2¹ × 59¹ × 727¹ × 42899¹
LCM(85786,85798) = 3680133614