What is the Least Common Multiple of 51408 and 51419?

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 51408 and 51419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51408 and 51419, than apply into the LCM equation.

GCF(51408,51419) = 1
LCM(51408,51419) = ( 51408 × 51419) / 1
LCM(51408,51419) = 2643347952 / 1
LCM(51408,51419) = 2643347952

Least Common Multiple (LCM) of 51408 and 51419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51408 and 51419. First we will calculate the prime factors of 51408 and 51419.

Prime Factorization of 51408

Prime Factorization of 51419

Now multiplying the highest exponent prime factors to calculate the LCM of 51408 and 51419.

LCM(51408,51419) = 2⁴ × 3³ × 7¹ × 17¹ × 51419¹
LCM(51408,51419) = 2643347952