What is the Least Common Multiple of 71640 and 71649?

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 71640 and 71649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71640 and 71649, than apply into the LCM equation.

GCF(71640,71649) = 9
LCM(71640,71649) = ( 71640 × 71649) / 9
LCM(71640,71649) = 5132934360 / 9
LCM(71640,71649) = 570326040

Least Common Multiple (LCM) of 71640 and 71649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71640 and 71649. First we will calculate the prime factors of 71640 and 71649.

Prime Factorization of 71640

Prime Factorization of 71649

Now multiplying the highest exponent prime factors to calculate the LCM of 71640 and 71649.

LCM(71640,71649) = 2³ × 3² × 5¹ × 199¹ × 19¹ × 419¹
LCM(71640,71649) = 570326040