What is the Least Common Multiple of 49020 and 49035?

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 49035 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 49035, than apply into the LCM equation.

GCF(49020,49035) = 15
LCM(49020,49035) = ( 49020 × 49035) / 15
LCM(49020,49035) = 2403695700 / 15
LCM(49020,49035) = 160246380

Least Common Multiple (LCM) of 49020 and 49035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49020 and 49035. First we will calculate the prime factors of 49020 and 49035.

Prime Factorization of 49020

Prime Factorization of 49035

Now multiplying the highest exponent prime factors to calculate the LCM of 49020 and 49035.

LCM(49020,49035) = 2² × 3¹ × 5¹ × 19¹ × 43¹ × 7¹ × 467¹
LCM(49020,49035) = 160246380