What is the Least Common Multiple of 76494 and 76514?

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 76494 and 76514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76494 and 76514, than apply into the LCM equation.

GCF(76494,76514) = 2
LCM(76494,76514) = ( 76494 × 76514) / 2
LCM(76494,76514) = 5852861916 / 2
LCM(76494,76514) = 2926430958

Least Common Multiple (LCM) of 76494 and 76514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76494 and 76514. First we will calculate the prime factors of 76494 and 76514.

Prime Factorization of 76494

Prime Factorization of 76514

Now multiplying the highest exponent prime factors to calculate the LCM of 76494 and 76514.

LCM(76494,76514) = 2¹ × 3¹ × 11¹ × 19¹ × 61¹ × 67¹ × 571¹
LCM(76494,76514) = 2926430958