What is the Least Common Multiple of 49020 and 49029?

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 49029 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 49029, than apply into the LCM equation.

GCF(49020,49029) = 3
LCM(49020,49029) = ( 49020 × 49029) / 3
LCM(49020,49029) = 2403401580 / 3
LCM(49020,49029) = 801133860

Least Common Multiple (LCM) of 49020 and 49029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49020 and 49029. First we will calculate the prime factors of 49020 and 49029.

Prime Factorization of 49020

Prime Factorization of 49029

Now multiplying the highest exponent prime factors to calculate the LCM of 49020 and 49029.

LCM(49020,49029) = 2² × 3¹ × 5¹ × 19¹ × 43¹ × 59¹ × 277¹
LCM(49020,49029) = 801133860