What is the Least Common Multiple of 9429 and 9448?

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 9429 and 9448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9429 and 9448, than apply into the LCM equation.

GCF(9429,9448) = 1
LCM(9429,9448) = ( 9429 × 9448) / 1
LCM(9429,9448) = 89085192 / 1
LCM(9429,9448) = 89085192

Least Common Multiple (LCM) of 9429 and 9448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9429 and 9448. First we will calculate the prime factors of 9429 and 9448.

Prime Factorization of 9429

Prime Factorization of 9448

Now multiplying the highest exponent prime factors to calculate the LCM of 9429 and 9448.

LCM(9429,9448) = 3¹ × 7¹ × 449¹ × 2³ × 1181¹
LCM(9429,9448) = 89085192