What is the Least Common Multiple of 9540 and 9550?

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 9550 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 9550, than apply into the LCM equation.

GCF(9540,9550) = 10
LCM(9540,9550) = ( 9540 × 9550) / 10
LCM(9540,9550) = 91107000 / 10
LCM(9540,9550) = 9110700

Least Common Multiple (LCM) of 9540 and 9550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9540 and 9550. First we will calculate the prime factors of 9540 and 9550.

Prime Factorization of 9540

Prime Factorization of 9550

Now multiplying the highest exponent prime factors to calculate the LCM of 9540 and 9550.

LCM(9540,9550) = 2² × 3² × 5² × 53¹ × 191¹
LCM(9540,9550) = 9110700