What is the Least Common Multiple of 71204 and 71211?

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 71204 and 71211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71204 and 71211, than apply into the LCM equation.

GCF(71204,71211) = 7
LCM(71204,71211) = ( 71204 × 71211) / 7
LCM(71204,71211) = 5070508044 / 7
LCM(71204,71211) = 724358292

Least Common Multiple (LCM) of 71204 and 71211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71204 and 71211. First we will calculate the prime factors of 71204 and 71211.

Prime Factorization of 71204

Prime Factorization of 71211

Now multiplying the highest exponent prime factors to calculate the LCM of 71204 and 71211.

LCM(71204,71211) = 2² × 7¹ × 2543¹ × 3¹ × 3391¹
LCM(71204,71211) = 724358292