What is the Least Common Multiple of 77259 and 77274?

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 77259 and 77274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77259 and 77274, than apply into the LCM equation.

GCF(77259,77274) = 3
LCM(77259,77274) = ( 77259 × 77274) / 3
LCM(77259,77274) = 5970111966 / 3
LCM(77259,77274) = 1990037322

Least Common Multiple (LCM) of 77259 and 77274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77259 and 77274. First we will calculate the prime factors of 77259 and 77274.

Prime Factorization of 77259

Prime Factorization of 77274

Now multiplying the highest exponent prime factors to calculate the LCM of 77259 and 77274.

LCM(77259,77274) = 3⁶ × 7¹ × 13¹ × 283¹ × 2¹ × 53¹
LCM(77259,77274) = 1990037322