What is the Least Common Multiple of 76422 and 76431?

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 76422 and 76431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76422 and 76431, than apply into the LCM equation.

GCF(76422,76431) = 3
LCM(76422,76431) = ( 76422 × 76431) / 3
LCM(76422,76431) = 5841009882 / 3
LCM(76422,76431) = 1947003294

Least Common Multiple (LCM) of 76422 and 76431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76422 and 76431. First we will calculate the prime factors of 76422 and 76431.

Prime Factorization of 76422

Prime Factorization of 76431

Now multiplying the highest exponent prime factors to calculate the LCM of 76422 and 76431.

LCM(76422,76431) = 2¹ × 3¹ × 47¹ × 271¹ × 73¹ × 349¹
LCM(76422,76431) = 1947003294