What is the Least Common Multiple of 32454 and 32473?

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 32454 and 32473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32454 and 32473, than apply into the LCM equation.

GCF(32454,32473) = 1
LCM(32454,32473) = ( 32454 × 32473) / 1
LCM(32454,32473) = 1053878742 / 1
LCM(32454,32473) = 1053878742

Least Common Multiple (LCM) of 32454 and 32473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32454 and 32473. First we will calculate the prime factors of 32454 and 32473.

Prime Factorization of 32454

Prime Factorization of 32473

Now multiplying the highest exponent prime factors to calculate the LCM of 32454 and 32473.

LCM(32454,32473) = 2¹ × 3³ × 601¹ × 7¹ × 4639¹
LCM(32454,32473) = 1053878742