What is the Least Common Multiple of 73555 and 73571?

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 73555 and 73571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73555 and 73571, than apply into the LCM equation.

GCF(73555,73571) = 1
LCM(73555,73571) = ( 73555 × 73571) / 1
LCM(73555,73571) = 5411514905 / 1
LCM(73555,73571) = 5411514905

Least Common Multiple (LCM) of 73555 and 73571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73555 and 73571. First we will calculate the prime factors of 73555 and 73571.

Prime Factorization of 73555

Prime Factorization of 73571

Now multiplying the highest exponent prime factors to calculate the LCM of 73555 and 73571.

LCM(73555,73571) = 5¹ × 47¹ × 313¹ × 73571¹
LCM(73555,73571) = 5411514905