What is the Least Common Multiple of 9540 and 9546?

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 9540 and 9546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9540 and 9546, than apply into the LCM equation.

GCF(9540,9546) = 6
LCM(9540,9546) = ( 9540 × 9546) / 6
LCM(9540,9546) = 91068840 / 6
LCM(9540,9546) = 15178140

Least Common Multiple (LCM) of 9540 and 9546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9540 and 9546. First we will calculate the prime factors of 9540 and 9546.

Prime Factorization of 9540

Prime Factorization of 9546

Now multiplying the highest exponent prime factors to calculate the LCM of 9540 and 9546.

LCM(9540,9546) = 2² × 3² × 5¹ × 53¹ × 37¹ × 43¹
LCM(9540,9546) = 15178140