What is the Least Common Multiple of 51435 and 51444?

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 51435 and 51444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51435 and 51444, than apply into the LCM equation.

GCF(51435,51444) = 9
LCM(51435,51444) = ( 51435 × 51444) / 9
LCM(51435,51444) = 2646022140 / 9
LCM(51435,51444) = 294002460

Least Common Multiple (LCM) of 51435 and 51444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51435 and 51444. First we will calculate the prime factors of 51435 and 51444.

Prime Factorization of 51435

Prime Factorization of 51444

Now multiplying the highest exponent prime factors to calculate the LCM of 51435 and 51444.

LCM(51435,51444) = 3⁴ × 5¹ × 127¹ × 2² × 1429¹
LCM(51435,51444) = 294002460