What is the Least Common Multiple of 49800 and 49815?

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 49800 and 49815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49800 and 49815, than apply into the LCM equation.

GCF(49800,49815) = 15
LCM(49800,49815) = ( 49800 × 49815) / 15
LCM(49800,49815) = 2480787000 / 15
LCM(49800,49815) = 165385800

Least Common Multiple (LCM) of 49800 and 49815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49800 and 49815. First we will calculate the prime factors of 49800 and 49815.

Prime Factorization of 49800

Prime Factorization of 49815

Now multiplying the highest exponent prime factors to calculate the LCM of 49800 and 49815.

LCM(49800,49815) = 2³ × 3⁵ × 5² × 83¹ × 41¹
LCM(49800,49815) = 165385800