What is the Least Common Multiple of 49569 and 49575?

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 49569 and 49575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49569 and 49575, than apply into the LCM equation.

GCF(49569,49575) = 3
LCM(49569,49575) = ( 49569 × 49575) / 3
LCM(49569,49575) = 2457383175 / 3
LCM(49569,49575) = 819127725

Least Common Multiple (LCM) of 49569 and 49575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49569 and 49575. First we will calculate the prime factors of 49569 and 49575.

Prime Factorization of 49569

Prime Factorization of 49575

Now multiplying the highest exponent prime factors to calculate the LCM of 49569 and 49575.

LCM(49569,49575) = 3¹ × 13¹ × 31¹ × 41¹ × 5² × 661¹
LCM(49569,49575) = 819127725