What is the Least Common Multiple of 52550 and 52565?

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 52550 and 52565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52550 and 52565, than apply into the LCM equation.

GCF(52550,52565) = 5
LCM(52550,52565) = ( 52550 × 52565) / 5
LCM(52550,52565) = 2762290750 / 5
LCM(52550,52565) = 552458150

Least Common Multiple (LCM) of 52550 and 52565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52550 and 52565. First we will calculate the prime factors of 52550 and 52565.

Prime Factorization of 52550

Prime Factorization of 52565

Now multiplying the highest exponent prime factors to calculate the LCM of 52550 and 52565.

LCM(52550,52565) = 2¹ × 5² × 1051¹ × 10513¹
LCM(52550,52565) = 552458150