What is the Least Common Multiple of 49040 and 49049?

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 49040 and 49049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49040 and 49049, than apply into the LCM equation.

GCF(49040,49049) = 1
LCM(49040,49049) = ( 49040 × 49049) / 1
LCM(49040,49049) = 2405362960 / 1
LCM(49040,49049) = 2405362960

Least Common Multiple (LCM) of 49040 and 49049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49040 and 49049. First we will calculate the prime factors of 49040 and 49049.

Prime Factorization of 49040

Prime Factorization of 49049

Now multiplying the highest exponent prime factors to calculate the LCM of 49040 and 49049.

LCM(49040,49049) = 2⁴ × 5¹ × 613¹ × 7³ × 11¹ × 13¹
LCM(49040,49049) = 2405362960