What is the Least Common Multiple of 35577 and 35589?

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 35577 and 35589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35577 and 35589, than apply into the LCM equation.

GCF(35577,35589) = 3
LCM(35577,35589) = ( 35577 × 35589) / 3
LCM(35577,35589) = 1266149853 / 3
LCM(35577,35589) = 422049951

Least Common Multiple (LCM) of 35577 and 35589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35577 and 35589. First we will calculate the prime factors of 35577 and 35589.

Prime Factorization of 35577

Prime Factorization of 35589

Now multiplying the highest exponent prime factors to calculate the LCM of 35577 and 35589.

LCM(35577,35589) = 3² × 59¹ × 67¹ × 11863¹
LCM(35577,35589) = 422049951