What is the Least Common Multiple of 35589 and 35609?

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 35589 and 35609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35589 and 35609, than apply into the LCM equation.

GCF(35589,35609) = 1
LCM(35589,35609) = ( 35589 × 35609) / 1
LCM(35589,35609) = 1267288701 / 1
LCM(35589,35609) = 1267288701

Least Common Multiple (LCM) of 35589 and 35609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35589 and 35609. First we will calculate the prime factors of 35589 and 35609.

Prime Factorization of 35589

Prime Factorization of 35609

Now multiplying the highest exponent prime factors to calculate the LCM of 35589 and 35609.

LCM(35589,35609) = 3¹ × 11863¹ × 7¹ × 5087¹
LCM(35589,35609) = 1267288701