What is the Least Common Multiple of 9500 and 9506?

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 9500 and 9506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9500 and 9506, than apply into the LCM equation.

GCF(9500,9506) = 2
LCM(9500,9506) = ( 9500 × 9506) / 2
LCM(9500,9506) = 90307000 / 2
LCM(9500,9506) = 45153500

Least Common Multiple (LCM) of 9500 and 9506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9500 and 9506. First we will calculate the prime factors of 9500 and 9506.

Prime Factorization of 9500

Prime Factorization of 9506

Now multiplying the highest exponent prime factors to calculate the LCM of 9500 and 9506.

LCM(9500,9506) = 2² × 5³ × 19¹ × 7² × 97¹
LCM(9500,9506) = 45153500