What is the Least Common Multiple of 89786 and 89798?

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 89786 and 89798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89786 and 89798, than apply into the LCM equation.

GCF(89786,89798) = 2
LCM(89786,89798) = ( 89786 × 89798) / 2
LCM(89786,89798) = 8062603228 / 2
LCM(89786,89798) = 4031301614

Least Common Multiple (LCM) of 89786 and 89798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89786 and 89798. First we will calculate the prime factors of 89786 and 89798.

Prime Factorization of 89786

Prime Factorization of 89798

Now multiplying the highest exponent prime factors to calculate the LCM of 89786 and 89798.

LCM(89786,89798) = 2¹ × 44893¹ × 59¹ × 761¹
LCM(89786,89798) = 4031301614