What is the Least Common Multiple of 67412 and 67431?

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 67412 and 67431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67412 and 67431, than apply into the LCM equation.

GCF(67412,67431) = 19
LCM(67412,67431) = ( 67412 × 67431) / 19
LCM(67412,67431) = 4545658572 / 19
LCM(67412,67431) = 239245188

Least Common Multiple (LCM) of 67412 and 67431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67412 and 67431. First we will calculate the prime factors of 67412 and 67431.

Prime Factorization of 67412

Prime Factorization of 67431

Now multiplying the highest exponent prime factors to calculate the LCM of 67412 and 67431.

LCM(67412,67431) = 2² × 19¹ × 887¹ × 3¹ × 7¹ × 13²
LCM(67412,67431) = 239245188