What is the Least Common Multiple of 49020 and 49039?

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 49020 and 49039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49020 and 49039, than apply into the LCM equation.

GCF(49020,49039) = 19
LCM(49020,49039) = ( 49020 × 49039) / 19
LCM(49020,49039) = 2403891780 / 19
LCM(49020,49039) = 126520620

Least Common Multiple (LCM) of 49020 and 49039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49020 and 49039. First we will calculate the prime factors of 49020 and 49039.

Prime Factorization of 49020

Prime Factorization of 49039

Now multiplying the highest exponent prime factors to calculate the LCM of 49020 and 49039.

LCM(49020,49039) = 2² × 3¹ × 5¹ × 19¹ × 43¹ × 29¹ × 89¹
LCM(49020,49039) = 126520620