What is the Least Common Multiple of 9538 and 9542?

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 9538 and 9542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9538 and 9542, than apply into the LCM equation.

GCF(9538,9542) = 2
LCM(9538,9542) = ( 9538 × 9542) / 2
LCM(9538,9542) = 91011596 / 2
LCM(9538,9542) = 45505798

Least Common Multiple (LCM) of 9538 and 9542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9538 and 9542. First we will calculate the prime factors of 9538 and 9542.

Prime Factorization of 9538

Prime Factorization of 9542

Now multiplying the highest exponent prime factors to calculate the LCM of 9538 and 9542.

LCM(9538,9542) = 2¹ × 19¹ × 251¹ × 13¹ × 367¹
LCM(9538,9542) = 45505798