What is the Least Common Multiple of 49550 and 49565?

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 49550 and 49565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49550 and 49565, than apply into the LCM equation.

GCF(49550,49565) = 5
LCM(49550,49565) = ( 49550 × 49565) / 5
LCM(49550,49565) = 2455945750 / 5
LCM(49550,49565) = 491189150

Least Common Multiple (LCM) of 49550 and 49565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49550 and 49565. First we will calculate the prime factors of 49550 and 49565.

Prime Factorization of 49550

Prime Factorization of 49565

Now multiplying the highest exponent prime factors to calculate the LCM of 49550 and 49565.

LCM(49550,49565) = 2¹ × 5² × 991¹ × 23¹ × 431¹
LCM(49550,49565) = 491189150