What is the Least Common Multiple of 95489 and 95506?

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 95489 and 95506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95489 and 95506, than apply into the LCM equation.

GCF(95489,95506) = 17
LCM(95489,95506) = ( 95489 × 95506) / 17
LCM(95489,95506) = 9119772434 / 17
LCM(95489,95506) = 536457202

Least Common Multiple (LCM) of 95489 and 95506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95489 and 95506. First we will calculate the prime factors of 95489 and 95506.

Prime Factorization of 95489

Prime Factorization of 95506

Now multiplying the highest exponent prime factors to calculate the LCM of 95489 and 95506.

LCM(95489,95506) = 17¹ × 41¹ × 137¹ × 2¹ × 53²
LCM(95489,95506) = 536457202