What is the Least Common Multiple of 9546 and 9560?

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 9546 and 9560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9546 and 9560, than apply into the LCM equation.

GCF(9546,9560) = 2
LCM(9546,9560) = ( 9546 × 9560) / 2
LCM(9546,9560) = 91259760 / 2
LCM(9546,9560) = 45629880

Least Common Multiple (LCM) of 9546 and 9560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9560. First we will calculate the prime factors of 9546 and 9560.

Prime Factorization of 9546

Prime Factorization of 9560

Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9560.

LCM(9546,9560) = 2³ × 3¹ × 37¹ × 43¹ × 5¹ × 239¹
LCM(9546,9560) = 45629880