What is the Least Common Multiple of 23345 and 23364?

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 23345 and 23364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23345 and 23364, than apply into the LCM equation.

GCF(23345,23364) = 1
LCM(23345,23364) = ( 23345 × 23364) / 1
LCM(23345,23364) = 545432580 / 1
LCM(23345,23364) = 545432580

Least Common Multiple (LCM) of 23345 and 23364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23345 and 23364. First we will calculate the prime factors of 23345 and 23364.

Prime Factorization of 23345

Prime Factorization of 23364

Now multiplying the highest exponent prime factors to calculate the LCM of 23345 and 23364.

LCM(23345,23364) = 5¹ × 7¹ × 23¹ × 29¹ × 2² × 3² × 11¹ × 59¹
LCM(23345,23364) = 545432580