What is the Least Common Multiple of 49450 and 49455?

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 49450 and 49455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49450 and 49455, than apply into the LCM equation.

GCF(49450,49455) = 5
LCM(49450,49455) = ( 49450 × 49455) / 5
LCM(49450,49455) = 2445549750 / 5
LCM(49450,49455) = 489109950

Least Common Multiple (LCM) of 49450 and 49455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49450 and 49455. First we will calculate the prime factors of 49450 and 49455.

Prime Factorization of 49450

Prime Factorization of 49455

Now multiplying the highest exponent prime factors to calculate the LCM of 49450 and 49455.

LCM(49450,49455) = 2¹ × 5² × 23¹ × 43¹ × 3² × 7¹ × 157¹
LCM(49450,49455) = 489109950