What is the Least Common Multiple of 40432 and 40446?

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 40432 and 40446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40432 and 40446, than apply into the LCM equation.

GCF(40432,40446) = 14
LCM(40432,40446) = ( 40432 × 40446) / 14
LCM(40432,40446) = 1635312672 / 14
LCM(40432,40446) = 116808048

Least Common Multiple (LCM) of 40432 and 40446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40432 and 40446. First we will calculate the prime factors of 40432 and 40446.

Prime Factorization of 40432

Prime Factorization of 40446

Now multiplying the highest exponent prime factors to calculate the LCM of 40432 and 40446.

LCM(40432,40446) = 2⁴ × 7¹ × 19² × 3³ × 107¹
LCM(40432,40446) = 116808048