What is the Least Common Multiple of 49008 and 49020?

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 49008 and 49020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49008 and 49020, than apply into the LCM equation.

GCF(49008,49020) = 12
LCM(49008,49020) = ( 49008 × 49020) / 12
LCM(49008,49020) = 2402372160 / 12
LCM(49008,49020) = 200197680

Least Common Multiple (LCM) of 49008 and 49020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49008 and 49020. First we will calculate the prime factors of 49008 and 49020.

Prime Factorization of 49008

Prime Factorization of 49020

Now multiplying the highest exponent prime factors to calculate the LCM of 49008 and 49020.

LCM(49008,49020) = 2⁴ × 3¹ × 1021¹ × 5¹ × 19¹ × 43¹
LCM(49008,49020) = 200197680