What is the Least Common Multiple of 9438 and 9451?

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 9438 and 9451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9451, than apply into the LCM equation.

GCF(9438,9451) = 13
LCM(9438,9451) = ( 9438 × 9451) / 13
LCM(9438,9451) = 89198538 / 13
LCM(9438,9451) = 6861426

Least Common Multiple (LCM) of 9438 and 9451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9451. First we will calculate the prime factors of 9438 and 9451.

Prime Factorization of 9438

Prime Factorization of 9451

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9451.

LCM(9438,9451) = 2¹ × 3¹ × 11² × 13¹ × 727¹
LCM(9438,9451) = 6861426