What is the Least Common Multiple of 71710 and 71722?

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 71710 and 71722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71710 and 71722, than apply into the LCM equation.

GCF(71710,71722) = 2
LCM(71710,71722) = ( 71710 × 71722) / 2
LCM(71710,71722) = 5143184620 / 2
LCM(71710,71722) = 2571592310

Least Common Multiple (LCM) of 71710 and 71722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71710 and 71722. First we will calculate the prime factors of 71710 and 71722.

Prime Factorization of 71710

Prime Factorization of 71722

Now multiplying the highest exponent prime factors to calculate the LCM of 71710 and 71722.

LCM(71710,71722) = 2¹ × 5¹ × 71¹ × 101¹ × 7¹ × 47¹ × 109¹
LCM(71710,71722) = 2571592310