What is the Least Common Multiple of 28345 and 28364?

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 28345 and 28364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28345 and 28364, than apply into the LCM equation.

GCF(28345,28364) = 1
LCM(28345,28364) = ( 28345 × 28364) / 1
LCM(28345,28364) = 803977580 / 1
LCM(28345,28364) = 803977580

Least Common Multiple (LCM) of 28345 and 28364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28345 and 28364. First we will calculate the prime factors of 28345 and 28364.

Prime Factorization of 28345

Prime Factorization of 28364

Now multiplying the highest exponent prime factors to calculate the LCM of 28345 and 28364.

LCM(28345,28364) = 5¹ × 5669¹ × 2² × 7¹ × 1013¹
LCM(28345,28364) = 803977580