What is the Least Common Multiple of 67446 and 67456?

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 67456 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 67456, than apply into the LCM equation.

GCF(67446,67456) = 2
LCM(67446,67456) = ( 67446 × 67456) / 2
LCM(67446,67456) = 4549637376 / 2
LCM(67446,67456) = 2274818688

Least Common Multiple (LCM) of 67446 and 67456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67446 and 67456. First we will calculate the prime factors of 67446 and 67456.

Prime Factorization of 67446

Prime Factorization of 67456

Now multiplying the highest exponent prime factors to calculate the LCM of 67446 and 67456.

LCM(67446,67456) = 2⁷ × 3³ × 1249¹ × 17¹ × 31¹
LCM(67446,67456) = 2274818688