What is the Least Common Multiple of 71892 and 71898?

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 71892 and 71898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71892 and 71898, than apply into the LCM equation.

GCF(71892,71898) = 6
LCM(71892,71898) = ( 71892 × 71898) / 6
LCM(71892,71898) = 5168891016 / 6
LCM(71892,71898) = 861481836

Least Common Multiple (LCM) of 71892 and 71898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71892 and 71898. First we will calculate the prime factors of 71892 and 71898.

Prime Factorization of 71892

Prime Factorization of 71898

Now multiplying the highest exponent prime factors to calculate the LCM of 71892 and 71898.

LCM(71892,71898) = 2² × 3² × 1997¹ × 23¹ × 521¹
LCM(71892,71898) = 861481836