What is the Least Common Multiple of 51126 and 51134?

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 51126 and 51134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51126 and 51134, than apply into the LCM equation.

GCF(51126,51134) = 2
LCM(51126,51134) = ( 51126 × 51134) / 2
LCM(51126,51134) = 2614276884 / 2
LCM(51126,51134) = 1307138442

Least Common Multiple (LCM) of 51126 and 51134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51126 and 51134. First we will calculate the prime factors of 51126 and 51134.

Prime Factorization of 51126

Prime Factorization of 51134

Now multiplying the highest exponent prime factors to calculate the LCM of 51126 and 51134.

LCM(51126,51134) = 2¹ × 3¹ × 8521¹ × 37¹ × 691¹
LCM(51126,51134) = 1307138442