What is the Least Common Multiple of 71909 and 71919?

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 71909 and 71919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71909 and 71919, than apply into the LCM equation.

GCF(71909,71919) = 1
LCM(71909,71919) = ( 71909 × 71919) / 1
LCM(71909,71919) = 5171623371 / 1
LCM(71909,71919) = 5171623371

Least Common Multiple (LCM) of 71909 and 71919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71909 and 71919. First we will calculate the prime factors of 71909 and 71919.

Prime Factorization of 71909

Prime Factorization of 71919

Now multiplying the highest exponent prime factors to calculate the LCM of 71909 and 71919.

LCM(71909,71919) = 71909¹ × 3² × 61¹ × 131¹
LCM(71909,71919) = 5171623371