What is the Least Common Multiple of 43748 and 43754?

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 43748 and 43754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43748 and 43754, than apply into the LCM equation.

GCF(43748,43754) = 2
LCM(43748,43754) = ( 43748 × 43754) / 2
LCM(43748,43754) = 1914149992 / 2
LCM(43748,43754) = 957074996

Least Common Multiple (LCM) of 43748 and 43754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43748 and 43754. First we will calculate the prime factors of 43748 and 43754.

Prime Factorization of 43748

Prime Factorization of 43754

Now multiplying the highest exponent prime factors to calculate the LCM of 43748 and 43754.

LCM(43748,43754) = 2² × 10937¹ × 131¹ × 167¹
LCM(43748,43754) = 957074996