What is the Least Common Multiple of 51034 and 51053?

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 51034 and 51053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51034 and 51053, than apply into the LCM equation.

GCF(51034,51053) = 19
LCM(51034,51053) = ( 51034 × 51053) / 19
LCM(51034,51053) = 2605438802 / 19
LCM(51034,51053) = 137128358

Least Common Multiple (LCM) of 51034 and 51053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51034 and 51053. First we will calculate the prime factors of 51034 and 51053.

Prime Factorization of 51034

Prime Factorization of 51053

Now multiplying the highest exponent prime factors to calculate the LCM of 51034 and 51053.

LCM(51034,51053) = 2¹ × 17¹ × 19¹ × 79¹ × 2687¹
LCM(51034,51053) = 137128358