What is the Least Common Multiple of 76514 and 76534?

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 76514 and 76534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76514 and 76534, than apply into the LCM equation.

GCF(76514,76534) = 2
LCM(76514,76534) = ( 76514 × 76534) / 2
LCM(76514,76534) = 5855922476 / 2
LCM(76514,76534) = 2927961238

Least Common Multiple (LCM) of 76514 and 76534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76514 and 76534. First we will calculate the prime factors of 76514 and 76534.

Prime Factorization of 76514

Prime Factorization of 76534

Now multiplying the highest exponent prime factors to calculate the LCM of 76514 and 76534.

LCM(76514,76534) = 2¹ × 67¹ × 571¹ × 17¹ × 2251¹
LCM(76514,76534) = 2927961238