What is the Least Common Multiple of 35966 and 35977?

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 35966 and 35977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35966 and 35977, than apply into the LCM equation.

GCF(35966,35977) = 1
LCM(35966,35977) = ( 35966 × 35977) / 1
LCM(35966,35977) = 1293948782 / 1
LCM(35966,35977) = 1293948782

Least Common Multiple (LCM) of 35966 and 35977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35966 and 35977. First we will calculate the prime factors of 35966 and 35977.

Prime Factorization of 35966

Prime Factorization of 35977

Now multiplying the highest exponent prime factors to calculate the LCM of 35966 and 35977.

LCM(35966,35977) = 2¹ × 7² × 367¹ × 35977¹
LCM(35966,35977) = 1293948782