What is the Least Common Multiple of 78778 and 78785?

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 78778 and 78785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78778 and 78785, than apply into the LCM equation.

GCF(78778,78785) = 7
LCM(78778,78785) = ( 78778 × 78785) / 7
LCM(78778,78785) = 6206524730 / 7
LCM(78778,78785) = 886646390

Least Common Multiple (LCM) of 78778 and 78785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78778 and 78785. First we will calculate the prime factors of 78778 and 78785.

Prime Factorization of 78778

Prime Factorization of 78785

Now multiplying the highest exponent prime factors to calculate the LCM of 78778 and 78785.

LCM(78778,78785) = 2¹ × 7¹ × 17¹ × 331¹ × 5¹ × 2251¹
LCM(78778,78785) = 886646390