What is the Least Common Multiple of 71892 and 71901?

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 71901 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 71901, than apply into the LCM equation.

GCF(71892,71901) = 9
LCM(71892,71901) = ( 71892 × 71901) / 9
LCM(71892,71901) = 5169106692 / 9
LCM(71892,71901) = 574345188

Least Common Multiple (LCM) of 71892 and 71901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71892 and 71901. First we will calculate the prime factors of 71892 and 71901.

Prime Factorization of 71892

Prime Factorization of 71901

Now multiplying the highest exponent prime factors to calculate the LCM of 71892 and 71901.

LCM(71892,71901) = 2² × 3³ × 1997¹ × 2663¹
LCM(71892,71901) = 574345188