What is the Least Common Multiple of 77274 and 77286?

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 77274 and 77286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77274 and 77286, than apply into the LCM equation.

GCF(77274,77286) = 6
LCM(77274,77286) = ( 77274 × 77286) / 6
LCM(77274,77286) = 5972198364 / 6
LCM(77274,77286) = 995366394

Least Common Multiple (LCM) of 77274 and 77286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77274 and 77286. First we will calculate the prime factors of 77274 and 77286.

Prime Factorization of 77274

Prime Factorization of 77286

Now multiplying the highest exponent prime factors to calculate the LCM of 77274 and 77286.

LCM(77274,77286) = 2¹ × 3⁶ × 53¹ × 11¹ × 1171¹
LCM(77274,77286) = 995366394