What is the Least Common Multiple of 53575 and 53580?

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 53575 and 53580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53575 and 53580, than apply into the LCM equation.

GCF(53575,53580) = 5
LCM(53575,53580) = ( 53575 × 53580) / 5
LCM(53575,53580) = 2870548500 / 5
LCM(53575,53580) = 574109700

Least Common Multiple (LCM) of 53575 and 53580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53575 and 53580. First we will calculate the prime factors of 53575 and 53580.

Prime Factorization of 53575

Prime Factorization of 53580

Now multiplying the highest exponent prime factors to calculate the LCM of 53575 and 53580.

LCM(53575,53580) = 5² × 2143¹ × 2² × 3¹ × 19¹ × 47¹
LCM(53575,53580) = 574109700