What is the Least Common Multiple of 71819 and 71830?

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 71819 and 71830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71819 and 71830, than apply into the LCM equation.

GCF(71819,71830) = 11
LCM(71819,71830) = ( 71819 × 71830) / 11
LCM(71819,71830) = 5158758770 / 11
LCM(71819,71830) = 468978070

Least Common Multiple (LCM) of 71819 and 71830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71819 and 71830. First we will calculate the prime factors of 71819 and 71830.

Prime Factorization of 71819

Prime Factorization of 71830

Now multiplying the highest exponent prime factors to calculate the LCM of 71819 and 71830.

LCM(71819,71830) = 11¹ × 6529¹ × 2¹ × 5¹ × 653¹
LCM(71819,71830) = 468978070