What is the Least Common Multiple of 51419 and 51432?

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 51419 and 51432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51419 and 51432, than apply into the LCM equation.

GCF(51419,51432) = 1
LCM(51419,51432) = ( 51419 × 51432) / 1
LCM(51419,51432) = 2644582008 / 1
LCM(51419,51432) = 2644582008

Least Common Multiple (LCM) of 51419 and 51432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51419 and 51432. First we will calculate the prime factors of 51419 and 51432.

Prime Factorization of 51419

Prime Factorization of 51432

Now multiplying the highest exponent prime factors to calculate the LCM of 51419 and 51432.

LCM(51419,51432) = 51419¹ × 2³ × 3¹ × 2143¹
LCM(51419,51432) = 2644582008