What is the Least Common Multiple of 78298 and 78309?

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 78298 and 78309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78298 and 78309, than apply into the LCM equation.

GCF(78298,78309) = 11
LCM(78298,78309) = ( 78298 × 78309) / 11
LCM(78298,78309) = 6131438082 / 11
LCM(78298,78309) = 557403462

Least Common Multiple (LCM) of 78298 and 78309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78298 and 78309. First we will calculate the prime factors of 78298 and 78309.

Prime Factorization of 78298

Prime Factorization of 78309

Now multiplying the highest exponent prime factors to calculate the LCM of 78298 and 78309.

LCM(78298,78309) = 2¹ × 11¹ × 3559¹ × 3² × 7¹ × 113¹
LCM(78298,78309) = 557403462