What is the Least Common Multiple of 75438 and 75451?

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 75438 and 75451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75438 and 75451, than apply into the LCM equation.

GCF(75438,75451) = 1
LCM(75438,75451) = ( 75438 × 75451) / 1
LCM(75438,75451) = 5691872538 / 1
LCM(75438,75451) = 5691872538

Least Common Multiple (LCM) of 75438 and 75451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75438 and 75451. First we will calculate the prime factors of 75438 and 75451.

Prime Factorization of 75438

Prime Factorization of 75451

Now multiplying the highest exponent prime factors to calculate the LCM of 75438 and 75451.

LCM(75438,75451) = 2¹ × 3³ × 11¹ × 127¹ × 197¹ × 383¹
LCM(75438,75451) = 5691872538