What is the Least Common Multiple of 67446 and 67457?

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 67446 and 67457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67446 and 67457, than apply into the LCM equation.

GCF(67446,67457) = 1
LCM(67446,67457) = ( 67446 × 67457) / 1
LCM(67446,67457) = 4549704822 / 1
LCM(67446,67457) = 4549704822

Least Common Multiple (LCM) of 67446 and 67457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67446 and 67457. First we will calculate the prime factors of 67446 and 67457.

Prime Factorization of 67446

Prime Factorization of 67457

Now multiplying the highest exponent prime factors to calculate the LCM of 67446 and 67457.

LCM(67446,67457) = 2¹ × 3³ × 1249¹ × 13¹ × 5189¹
LCM(67446,67457) = 4549704822