What is the Least Common Multiple of 23766 and 23783?

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 23766 and 23783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23766 and 23783, than apply into the LCM equation.

GCF(23766,23783) = 17
LCM(23766,23783) = ( 23766 × 23783) / 17
LCM(23766,23783) = 565226778 / 17
LCM(23766,23783) = 33248634

Least Common Multiple (LCM) of 23766 and 23783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23766 and 23783. First we will calculate the prime factors of 23766 and 23783.

Prime Factorization of 23766

Prime Factorization of 23783

Now multiplying the highest exponent prime factors to calculate the LCM of 23766 and 23783.

LCM(23766,23783) = 2¹ × 3¹ × 17¹ × 233¹ × 1399¹
LCM(23766,23783) = 33248634