What is the Least Common Multiple of 49028 and 49041?

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 49028 and 49041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49028 and 49041, than apply into the LCM equation.

GCF(49028,49041) = 1
LCM(49028,49041) = ( 49028 × 49041) / 1
LCM(49028,49041) = 2404382148 / 1
LCM(49028,49041) = 2404382148

Least Common Multiple (LCM) of 49028 and 49041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49028 and 49041. First we will calculate the prime factors of 49028 and 49041.

Prime Factorization of 49028

Prime Factorization of 49041

Now multiplying the highest exponent prime factors to calculate the LCM of 49028 and 49041.

LCM(49028,49041) = 2² × 7¹ × 17¹ × 103¹ × 3² × 5449¹
LCM(49028,49041) = 2404382148