What is the Least Common Multiple of 78494 and 78509?

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 78494 and 78509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78494 and 78509, than apply into the LCM equation.

GCF(78494,78509) = 1
LCM(78494,78509) = ( 78494 × 78509) / 1
LCM(78494,78509) = 6162485446 / 1
LCM(78494,78509) = 6162485446

Least Common Multiple (LCM) of 78494 and 78509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78494 and 78509. First we will calculate the prime factors of 78494 and 78509.

Prime Factorization of 78494

Prime Factorization of 78509

Now multiplying the highest exponent prime factors to calculate the LCM of 78494 and 78509.

LCM(78494,78509) = 2¹ × 13¹ × 3019¹ × 78509¹
LCM(78494,78509) = 6162485446