What is the Least Common Multiple of 35660 and 35671?

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 35660 and 35671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35660 and 35671, than apply into the LCM equation.

GCF(35660,35671) = 1
LCM(35660,35671) = ( 35660 × 35671) / 1
LCM(35660,35671) = 1272027860 / 1
LCM(35660,35671) = 1272027860

Least Common Multiple (LCM) of 35660 and 35671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35660 and 35671. First we will calculate the prime factors of 35660 and 35671.

Prime Factorization of 35660

Prime Factorization of 35671

Now multiplying the highest exponent prime factors to calculate the LCM of 35660 and 35671.

LCM(35660,35671) = 2² × 5¹ × 1783¹ × 35671¹
LCM(35660,35671) = 1272027860