What is the Least Common Multiple of 78260 and 78274?

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 78260 and 78274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78260 and 78274, than apply into the LCM equation.

GCF(78260,78274) = 14
LCM(78260,78274) = ( 78260 × 78274) / 14
LCM(78260,78274) = 6125723240 / 14
LCM(78260,78274) = 437551660

Least Common Multiple (LCM) of 78260 and 78274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78260 and 78274. First we will calculate the prime factors of 78260 and 78274.

Prime Factorization of 78260

Prime Factorization of 78274

Now multiplying the highest exponent prime factors to calculate the LCM of 78260 and 78274.

LCM(78260,78274) = 2² × 5¹ × 7¹ × 13¹ × 43¹ × 5591¹
LCM(78260,78274) = 437551660