What is the Least Common Multiple of 71649 and 71656?

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 71649 and 71656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71649 and 71656, than apply into the LCM equation.

GCF(71649,71656) = 1
LCM(71649,71656) = ( 71649 × 71656) / 1
LCM(71649,71656) = 5134080744 / 1
LCM(71649,71656) = 5134080744

Least Common Multiple (LCM) of 71649 and 71656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71649 and 71656. First we will calculate the prime factors of 71649 and 71656.

Prime Factorization of 71649

Prime Factorization of 71656

Now multiplying the highest exponent prime factors to calculate the LCM of 71649 and 71656.

LCM(71649,71656) = 3² × 19¹ × 419¹ × 2³ × 13² × 53¹
LCM(71649,71656) = 5134080744