What is the Least Common Multiple of 32412 and 32426?

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 32412 and 32426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32412 and 32426, than apply into the LCM equation.

GCF(32412,32426) = 2
LCM(32412,32426) = ( 32412 × 32426) / 2
LCM(32412,32426) = 1050991512 / 2
LCM(32412,32426) = 525495756

Least Common Multiple (LCM) of 32412 and 32426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32412 and 32426. First we will calculate the prime factors of 32412 and 32426.

Prime Factorization of 32412

Prime Factorization of 32426

Now multiplying the highest exponent prime factors to calculate the LCM of 32412 and 32426.

LCM(32412,32426) = 2² × 3¹ × 37¹ × 73¹ × 31¹ × 523¹
LCM(32412,32426) = 525495756