What is the Least Common Multiple of 9546 and 9558?

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 9558 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 9558, than apply into the LCM equation.

GCF(9546,9558) = 6
LCM(9546,9558) = ( 9546 × 9558) / 6
LCM(9546,9558) = 91240668 / 6
LCM(9546,9558) = 15206778

Least Common Multiple (LCM) of 9546 and 9558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9558. First we will calculate the prime factors of 9546 and 9558.

Prime Factorization of 9546

Prime Factorization of 9558

Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9558.

LCM(9546,9558) = 2¹ × 3⁴ × 37¹ × 43¹ × 59¹
LCM(9546,9558) = 15206778