What is the Least Common Multiple of 53550 and 53570?

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 53550 and 53570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53550 and 53570, than apply into the LCM equation.

GCF(53550,53570) = 10
LCM(53550,53570) = ( 53550 × 53570) / 10
LCM(53550,53570) = 2868673500 / 10
LCM(53550,53570) = 286867350

Least Common Multiple (LCM) of 53550 and 53570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53550 and 53570. First we will calculate the prime factors of 53550 and 53570.

Prime Factorization of 53550

Prime Factorization of 53570

Now multiplying the highest exponent prime factors to calculate the LCM of 53550 and 53570.

LCM(53550,53570) = 2¹ × 3² × 5² × 7¹ × 17¹ × 11¹ × 487¹
LCM(53550,53570) = 286867350