What is the Least Common Multiple of 71909 and 71928?

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 71928 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 71928, than apply into the LCM equation.

GCF(71909,71928) = 1
LCM(71909,71928) = ( 71909 × 71928) / 1
LCM(71909,71928) = 5172270552 / 1
LCM(71909,71928) = 5172270552

Least Common Multiple (LCM) of 71909 and 71928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71909 and 71928. First we will calculate the prime factors of 71909 and 71928.

Prime Factorization of 71909

Prime Factorization of 71928

Now multiplying the highest exponent prime factors to calculate the LCM of 71909 and 71928.

LCM(71909,71928) = 71909¹ × 2³ × 3⁵ × 37¹
LCM(71909,71928) = 5172270552