What is the Least Common Multiple of 51130 and 51139?

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 51130 and 51139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51130 and 51139, than apply into the LCM equation.

GCF(51130,51139) = 1
LCM(51130,51139) = ( 51130 × 51139) / 1
LCM(51130,51139) = 2614737070 / 1
LCM(51130,51139) = 2614737070

Least Common Multiple (LCM) of 51130 and 51139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51130 and 51139. First we will calculate the prime factors of 51130 and 51139.

Prime Factorization of 51130

Prime Factorization of 51139

Now multiplying the highest exponent prime factors to calculate the LCM of 51130 and 51139.

LCM(51130,51139) = 2¹ × 5¹ × 5113¹ × 11¹ × 4649¹
LCM(51130,51139) = 2614737070