What is the Least Common Multiple of 89945 and 89959?

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 89945 and 89959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89945 and 89959, than apply into the LCM equation.

GCF(89945,89959) = 1
LCM(89945,89959) = ( 89945 × 89959) / 1
LCM(89945,89959) = 8091362255 / 1
LCM(89945,89959) = 8091362255

Least Common Multiple (LCM) of 89945 and 89959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89945 and 89959. First we will calculate the prime factors of 89945 and 89959.

Prime Factorization of 89945

Prime Factorization of 89959

Now multiplying the highest exponent prime factors to calculate the LCM of 89945 and 89959.

LCM(89945,89959) = 5¹ × 17989¹ × 89959¹
LCM(89945,89959) = 8091362255