What is the Least Common Multiple of 71790 and 71798?

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 71790 and 71798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71790 and 71798, than apply into the LCM equation.

GCF(71790,71798) = 2
LCM(71790,71798) = ( 71790 × 71798) / 2
LCM(71790,71798) = 5154378420 / 2
LCM(71790,71798) = 2577189210

Least Common Multiple (LCM) of 71790 and 71798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71790 and 71798. First we will calculate the prime factors of 71790 and 71798.

Prime Factorization of 71790

Prime Factorization of 71798

Now multiplying the highest exponent prime factors to calculate the LCM of 71790 and 71798.

LCM(71790,71798) = 2¹ × 3¹ × 5¹ × 2393¹ × 35899¹
LCM(71790,71798) = 2577189210