What is the Least Common Multiple of 51538 and 51558?

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 51538 and 51558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51538 and 51558, than apply into the LCM equation.

GCF(51538,51558) = 2
LCM(51538,51558) = ( 51538 × 51558) / 2
LCM(51538,51558) = 2657196204 / 2
LCM(51538,51558) = 1328598102

Least Common Multiple (LCM) of 51538 and 51558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51538 and 51558. First we will calculate the prime factors of 51538 and 51558.

Prime Factorization of 51538

Prime Factorization of 51558

Now multiplying the highest exponent prime factors to calculate the LCM of 51538 and 51558.

LCM(51538,51558) = 2¹ × 73¹ × 353¹ × 3¹ × 13¹ × 661¹
LCM(51538,51558) = 1328598102