What is the Least Common Multiple of 71604 and 71609?

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 71604 and 71609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71604 and 71609, than apply into the LCM equation.

GCF(71604,71609) = 1
LCM(71604,71609) = ( 71604 × 71609) / 1
LCM(71604,71609) = 5127490836 / 1
LCM(71604,71609) = 5127490836

Least Common Multiple (LCM) of 71604 and 71609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71604 and 71609. First we will calculate the prime factors of 71604 and 71609.

Prime Factorization of 71604

Prime Factorization of 71609

Now multiplying the highest exponent prime factors to calculate the LCM of 71604 and 71609.

LCM(71604,71609) = 2² × 3⁴ × 13¹ × 17¹ × 101¹ × 709¹
LCM(71604,71609) = 5127490836