What is the Least Common Multiple of 89835 and 89847?

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 89835 and 89847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89835 and 89847, than apply into the LCM equation.

GCF(89835,89847) = 3
LCM(89835,89847) = ( 89835 × 89847) / 3
LCM(89835,89847) = 8071405245 / 3
LCM(89835,89847) = 2690468415

Least Common Multiple (LCM) of 89835 and 89847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89835 and 89847. First we will calculate the prime factors of 89835 and 89847.

Prime Factorization of 89835

Prime Factorization of 89847

Now multiplying the highest exponent prime factors to calculate the LCM of 89835 and 89847.

LCM(89835,89847) = 3² × 5¹ × 53¹ × 113¹ × 67¹ × 149¹
LCM(89835,89847) = 2690468415