What is the Least Common Multiple of 76431 and 76449?

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 76431 and 76449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76431 and 76449, than apply into the LCM equation.

GCF(76431,76449) = 3
LCM(76431,76449) = ( 76431 × 76449) / 3
LCM(76431,76449) = 5843073519 / 3
LCM(76431,76449) = 1947691173

Least Common Multiple (LCM) of 76431 and 76449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76431 and 76449. First we will calculate the prime factors of 76431 and 76449.

Prime Factorization of 76431

Prime Factorization of 76449

Now multiplying the highest exponent prime factors to calculate the LCM of 76431 and 76449.

LCM(76431,76449) = 3¹ × 73¹ × 349¹ × 17¹ × 1499¹
LCM(76431,76449) = 1947691173