What is the Least Common Multiple of 89830 and 89845?

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 89830 and 89845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89830 and 89845, than apply into the LCM equation.

GCF(89830,89845) = 5
LCM(89830,89845) = ( 89830 × 89845) / 5
LCM(89830,89845) = 8070776350 / 5
LCM(89830,89845) = 1614155270

Least Common Multiple (LCM) of 89830 and 89845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89830 and 89845. First we will calculate the prime factors of 89830 and 89845.

Prime Factorization of 89830

Prime Factorization of 89845

Now multiplying the highest exponent prime factors to calculate the LCM of 89830 and 89845.

LCM(89830,89845) = 2¹ × 5¹ × 13¹ × 691¹ × 7¹ × 17¹ × 151¹
LCM(89830,89845) = 1614155270