What is the Least Common Multiple of 71632 and 71647?

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 71632 and 71647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71632 and 71647, than apply into the LCM equation.

GCF(71632,71647) = 1
LCM(71632,71647) = ( 71632 × 71647) / 1
LCM(71632,71647) = 5132217904 / 1
LCM(71632,71647) = 5132217904

Least Common Multiple (LCM) of 71632 and 71647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71632 and 71647. First we will calculate the prime factors of 71632 and 71647.

Prime Factorization of 71632

Prime Factorization of 71647

Now multiplying the highest exponent prime factors to calculate the LCM of 71632 and 71647.

LCM(71632,71647) = 2⁴ × 11² × 37¹ × 71647¹
LCM(71632,71647) = 5132217904