What is the Least Common Multiple of 95545 and 95561?

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 95545 and 95561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95545 and 95561, than apply into the LCM equation.

GCF(95545,95561) = 1
LCM(95545,95561) = ( 95545 × 95561) / 1
LCM(95545,95561) = 9130375745 / 1
LCM(95545,95561) = 9130375745

Least Common Multiple (LCM) of 95545 and 95561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95545 and 95561. First we will calculate the prime factors of 95545 and 95561.

Prime Factorization of 95545

Prime Factorization of 95561

Now multiplying the highest exponent prime factors to calculate the LCM of 95545 and 95561.

LCM(95545,95561) = 5¹ × 97¹ × 197¹ × 95561¹
LCM(95545,95561) = 9130375745