What is the Least Common Multiple of 49780 and 49800?

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 49780 and 49800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49780 and 49800, than apply into the LCM equation.

GCF(49780,49800) = 20
LCM(49780,49800) = ( 49780 × 49800) / 20
LCM(49780,49800) = 2479044000 / 20
LCM(49780,49800) = 123952200

Least Common Multiple (LCM) of 49780 and 49800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49780 and 49800. First we will calculate the prime factors of 49780 and 49800.

Prime Factorization of 49780

Prime Factorization of 49800

Now multiplying the highest exponent prime factors to calculate the LCM of 49780 and 49800.

LCM(49780,49800) = 2³ × 5² × 19¹ × 131¹ × 3¹ × 83¹
LCM(49780,49800) = 123952200