What is the Least Common Multiple of 49038 and 49053?

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 49038 and 49053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49038 and 49053, than apply into the LCM equation.

GCF(49038,49053) = 3
LCM(49038,49053) = ( 49038 × 49053) / 3
LCM(49038,49053) = 2405461014 / 3
LCM(49038,49053) = 801820338

Least Common Multiple (LCM) of 49038 and 49053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49038 and 49053. First we will calculate the prime factors of 49038 and 49053.

Prime Factorization of 49038

Prime Factorization of 49053

Now multiplying the highest exponent prime factors to calculate the LCM of 49038 and 49053.

LCM(49038,49053) = 2¹ × 3¹ × 11¹ × 743¹ × 83¹ × 197¹
LCM(49038,49053) = 801820338