What is the Least Common Multiple of 89185 and 89205?

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 89185 and 89205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89185 and 89205, than apply into the LCM equation.

GCF(89185,89205) = 5
LCM(89185,89205) = ( 89185 × 89205) / 5
LCM(89185,89205) = 7955747925 / 5
LCM(89185,89205) = 1591149585

Least Common Multiple (LCM) of 89185 and 89205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89185 and 89205. First we will calculate the prime factors of 89185 and 89205.

Prime Factorization of 89185

Prime Factorization of 89205

Now multiplying the highest exponent prime factors to calculate the LCM of 89185 and 89205.

LCM(89185,89205) = 5¹ × 17837¹ × 3¹ × 19¹ × 313¹
LCM(89185,89205) = 1591149585