What is the Least Common Multiple of 71604 and 71621?

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 71621 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 71621, than apply into the LCM equation.

GCF(71604,71621) = 17
LCM(71604,71621) = ( 71604 × 71621) / 17
LCM(71604,71621) = 5128350084 / 17
LCM(71604,71621) = 301667652

Least Common Multiple (LCM) of 71604 and 71621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71604 and 71621. First we will calculate the prime factors of 71604 and 71621.

Prime Factorization of 71604

Prime Factorization of 71621

Now multiplying the highest exponent prime factors to calculate the LCM of 71604 and 71621.

LCM(71604,71621) = 2² × 3⁴ × 13¹ × 17¹ × 11¹ × 383¹
LCM(71604,71621) = 301667652