What is the Least Common Multiple of 71840 and 71857?

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 71840 and 71857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71840 and 71857, than apply into the LCM equation.

GCF(71840,71857) = 1
LCM(71840,71857) = ( 71840 × 71857) / 1
LCM(71840,71857) = 5162206880 / 1
LCM(71840,71857) = 5162206880

Least Common Multiple (LCM) of 71840 and 71857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71840 and 71857. First we will calculate the prime factors of 71840 and 71857.

Prime Factorization of 71840

Prime Factorization of 71857

Now multiplying the highest exponent prime factors to calculate the LCM of 71840 and 71857.

LCM(71840,71857) = 2⁵ × 5¹ × 449¹ × 181¹ × 397¹
LCM(71840,71857) = 5162206880