What is the Least Common Multiple of 23364 and 23370?

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 23364 and 23370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23364 and 23370, than apply into the LCM equation.

GCF(23364,23370) = 6
LCM(23364,23370) = ( 23364 × 23370) / 6
LCM(23364,23370) = 546016680 / 6
LCM(23364,23370) = 91002780

Least Common Multiple (LCM) of 23364 and 23370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23364 and 23370. First we will calculate the prime factors of 23364 and 23370.

Prime Factorization of 23364

Prime Factorization of 23370

Now multiplying the highest exponent prime factors to calculate the LCM of 23364 and 23370.

LCM(23364,23370) = 2² × 3² × 11¹ × 59¹ × 5¹ × 19¹ × 41¹
LCM(23364,23370) = 91002780