What is the Least Common Multiple of 95530 and 95549?

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 95530 and 95549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95530 and 95549, than apply into the LCM equation.

GCF(95530,95549) = 1
LCM(95530,95549) = ( 95530 × 95549) / 1
LCM(95530,95549) = 9127795970 / 1
LCM(95530,95549) = 9127795970

Least Common Multiple (LCM) of 95530 and 95549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95530 and 95549. First we will calculate the prime factors of 95530 and 95549.

Prime Factorization of 95530

Prime Factorization of 95549

Now multiplying the highest exponent prime factors to calculate the LCM of 95530 and 95549.

LCM(95530,95549) = 2¹ × 5¹ × 41¹ × 233¹ × 95549¹
LCM(95530,95549) = 9127795970