What is the Least Common Multiple of 23955 and 23964?

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 23955 and 23964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23955 and 23964, than apply into the LCM equation.

GCF(23955,23964) = 3
LCM(23955,23964) = ( 23955 × 23964) / 3
LCM(23955,23964) = 574057620 / 3
LCM(23955,23964) = 191352540

Least Common Multiple (LCM) of 23955 and 23964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23955 and 23964. First we will calculate the prime factors of 23955 and 23964.

Prime Factorization of 23955

Prime Factorization of 23964

Now multiplying the highest exponent prime factors to calculate the LCM of 23955 and 23964.

LCM(23955,23964) = 3¹ × 5¹ × 1597¹ × 2² × 1997¹
LCM(23955,23964) = 191352540