What is the Least Common Multiple of 32456 and 32469?

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 32456 and 32469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32456 and 32469, than apply into the LCM equation.

GCF(32456,32469) = 1
LCM(32456,32469) = ( 32456 × 32469) / 1
LCM(32456,32469) = 1053813864 / 1
LCM(32456,32469) = 1053813864

Least Common Multiple (LCM) of 32456 and 32469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32456 and 32469. First we will calculate the prime factors of 32456 and 32469.

Prime Factorization of 32456

Prime Factorization of 32469

Now multiplying the highest exponent prime factors to calculate the LCM of 32456 and 32469.

LCM(32456,32469) = 2³ × 4057¹ × 3¹ × 79¹ × 137¹
LCM(32456,32469) = 1053813864