What is the Least Common Multiple of 51749 and 51754?

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 51749 and 51754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51749 and 51754, than apply into the LCM equation.

GCF(51749,51754) = 1
LCM(51749,51754) = ( 51749 × 51754) / 1
LCM(51749,51754) = 2678217746 / 1
LCM(51749,51754) = 2678217746

Least Common Multiple (LCM) of 51749 and 51754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51749 and 51754. First we will calculate the prime factors of 51749 and 51754.

Prime Factorization of 51749

Prime Factorization of 51754

Now multiplying the highest exponent prime factors to calculate the LCM of 51749 and 51754.

LCM(51749,51754) = 51749¹ × 2¹ × 113¹ × 229¹
LCM(51749,51754) = 2678217746