What is the Least Common Multiple of 78890 and 78909?

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 78890 and 78909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78890 and 78909, than apply into the LCM equation.

GCF(78890,78909) = 1
LCM(78890,78909) = ( 78890 × 78909) / 1
LCM(78890,78909) = 6225131010 / 1
LCM(78890,78909) = 6225131010

Least Common Multiple (LCM) of 78890 and 78909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78890 and 78909. First we will calculate the prime factors of 78890 and 78909.

Prime Factorization of 78890

Prime Factorization of 78909

Now multiplying the highest exponent prime factors to calculate the LCM of 78890 and 78909.

LCM(78890,78909) = 2¹ × 5¹ × 7³ × 23¹ × 3¹ × 29¹ × 907¹
LCM(78890,78909) = 6225131010