What is the Least Common Multiple of 76449 and 76460?

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 76449 and 76460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76449 and 76460, than apply into the LCM equation.

GCF(76449,76460) = 1
LCM(76449,76460) = ( 76449 × 76460) / 1
LCM(76449,76460) = 5845290540 / 1
LCM(76449,76460) = 5845290540

Least Common Multiple (LCM) of 76449 and 76460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76449 and 76460. First we will calculate the prime factors of 76449 and 76460.

Prime Factorization of 76449

Prime Factorization of 76460

Now multiplying the highest exponent prime factors to calculate the LCM of 76449 and 76460.

LCM(76449,76460) = 3¹ × 17¹ × 1499¹ × 2² × 5¹ × 3823¹
LCM(76449,76460) = 5845290540