What is the Least Common Multiple of 24453 and 24465?

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 24453 and 24465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24453 and 24465, than apply into the LCM equation.

GCF(24453,24465) = 3
LCM(24453,24465) = ( 24453 × 24465) / 3
LCM(24453,24465) = 598242645 / 3
LCM(24453,24465) = 199414215

Least Common Multiple (LCM) of 24453 and 24465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24453 and 24465. First we will calculate the prime factors of 24453 and 24465.

Prime Factorization of 24453

Prime Factorization of 24465

Now multiplying the highest exponent prime factors to calculate the LCM of 24453 and 24465.

LCM(24453,24465) = 3² × 11¹ × 13¹ × 19¹ × 5¹ × 7¹ × 233¹
LCM(24453,24465) = 199414215