What is the Least Common Multiple of 23640 and 23654?

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 23640 and 23654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23640 and 23654, than apply into the LCM equation.

GCF(23640,23654) = 2
LCM(23640,23654) = ( 23640 × 23654) / 2
LCM(23640,23654) = 559180560 / 2
LCM(23640,23654) = 279590280

Least Common Multiple (LCM) of 23640 and 23654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23640 and 23654. First we will calculate the prime factors of 23640 and 23654.

Prime Factorization of 23640

Prime Factorization of 23654

Now multiplying the highest exponent prime factors to calculate the LCM of 23640 and 23654.

LCM(23640,23654) = 2³ × 3¹ × 5¹ × 197¹ × 11827¹
LCM(23640,23654) = 279590280