What is the Least Common Multiple of 23412 and 23430?

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 23412 and 23430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23412 and 23430, than apply into the LCM equation.

GCF(23412,23430) = 6
LCM(23412,23430) = ( 23412 × 23430) / 6
LCM(23412,23430) = 548543160 / 6
LCM(23412,23430) = 91423860

Least Common Multiple (LCM) of 23412 and 23430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23412 and 23430. First we will calculate the prime factors of 23412 and 23430.

Prime Factorization of 23412

Prime Factorization of 23430

Now multiplying the highest exponent prime factors to calculate the LCM of 23412 and 23430.

LCM(23412,23430) = 2² × 3¹ × 1951¹ × 5¹ × 11¹ × 71¹
LCM(23412,23430) = 91423860