What is the Least Common Multiple of 68432 and 68446?

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 68432 and 68446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68432 and 68446, than apply into the LCM equation.

GCF(68432,68446) = 14
LCM(68432,68446) = ( 68432 × 68446) / 14
LCM(68432,68446) = 4683896672 / 14
LCM(68432,68446) = 334564048

Least Common Multiple (LCM) of 68432 and 68446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68432 and 68446. First we will calculate the prime factors of 68432 and 68446.

Prime Factorization of 68432

Prime Factorization of 68446

Now multiplying the highest exponent prime factors to calculate the LCM of 68432 and 68446.

LCM(68432,68446) = 2⁴ × 7¹ × 13¹ × 47¹ × 4889¹
LCM(68432,68446) = 334564048