What is the Least Common Multiple of 35598 and 35612?

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 35598 and 35612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35598 and 35612, than apply into the LCM equation.

GCF(35598,35612) = 2
LCM(35598,35612) = ( 35598 × 35612) / 2
LCM(35598,35612) = 1267715976 / 2
LCM(35598,35612) = 633857988

Least Common Multiple (LCM) of 35598 and 35612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35598 and 35612. First we will calculate the prime factors of 35598 and 35612.

Prime Factorization of 35598

Prime Factorization of 35612

Now multiplying the highest exponent prime factors to calculate the LCM of 35598 and 35612.

LCM(35598,35612) = 2² × 3¹ × 17¹ × 349¹ × 29¹ × 307¹
LCM(35598,35612) = 633857988