What is the Least Common Multiple of 71550 and 71568?

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 71550 and 71568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71550 and 71568, than apply into the LCM equation.

GCF(71550,71568) = 18
LCM(71550,71568) = ( 71550 × 71568) / 18
LCM(71550,71568) = 5120690400 / 18
LCM(71550,71568) = 284482800

Least Common Multiple (LCM) of 71550 and 71568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71550 and 71568. First we will calculate the prime factors of 71550 and 71568.

Prime Factorization of 71550

Prime Factorization of 71568

Now multiplying the highest exponent prime factors to calculate the LCM of 71550 and 71568.

LCM(71550,71568) = 2⁴ × 3³ × 5² × 53¹ × 7¹ × 71¹
LCM(71550,71568) = 284482800