What is the Least Common Multiple of 35550 and 35568?

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 35550 and 35568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35550 and 35568, than apply into the LCM equation.

GCF(35550,35568) = 18
LCM(35550,35568) = ( 35550 × 35568) / 18
LCM(35550,35568) = 1264442400 / 18
LCM(35550,35568) = 70246800

Least Common Multiple (LCM) of 35550 and 35568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35550 and 35568. First we will calculate the prime factors of 35550 and 35568.

Prime Factorization of 35550

Prime Factorization of 35568

Now multiplying the highest exponent prime factors to calculate the LCM of 35550 and 35568.

LCM(35550,35568) = 2⁴ × 3² × 5² × 79¹ × 13¹ × 19¹
LCM(35550,35568) = 70246800