What is the Least Common Multiple of 67431 and 67442?

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 67431 and 67442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67431 and 67442, than apply into the LCM equation.

GCF(67431,67442) = 1
LCM(67431,67442) = ( 67431 × 67442) / 1
LCM(67431,67442) = 4547681502 / 1
LCM(67431,67442) = 4547681502

Least Common Multiple (LCM) of 67431 and 67442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67431 and 67442. First we will calculate the prime factors of 67431 and 67442.

Prime Factorization of 67431

Prime Factorization of 67442

Now multiplying the highest exponent prime factors to calculate the LCM of 67431 and 67442.

LCM(67431,67442) = 3¹ × 7¹ × 13² × 19¹ × 2¹ × 33721¹
LCM(67431,67442) = 4547681502