What is the Least Common Multiple of 71196 and 71213?

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 71196 and 71213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71196 and 71213, than apply into the LCM equation.

GCF(71196,71213) = 17
LCM(71196,71213) = ( 71196 × 71213) / 17
LCM(71196,71213) = 5070080748 / 17
LCM(71196,71213) = 298240044

Least Common Multiple (LCM) of 71196 and 71213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71196 and 71213. First we will calculate the prime factors of 71196 and 71213.

Prime Factorization of 71196

Prime Factorization of 71213

Now multiplying the highest exponent prime factors to calculate the LCM of 71196 and 71213.

LCM(71196,71213) = 2² × 3¹ × 17¹ × 349¹ × 59¹ × 71¹
LCM(71196,71213) = 298240044