What is the Least Common Multiple of 69750 and 69754?

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 69750 and 69754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69750 and 69754, than apply into the LCM equation.

GCF(69750,69754) = 2
LCM(69750,69754) = ( 69750 × 69754) / 2
LCM(69750,69754) = 4865341500 / 2
LCM(69750,69754) = 2432670750

Least Common Multiple (LCM) of 69750 and 69754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69750 and 69754. First we will calculate the prime factors of 69750 and 69754.

Prime Factorization of 69750

Prime Factorization of 69754

Now multiplying the highest exponent prime factors to calculate the LCM of 69750 and 69754.

LCM(69750,69754) = 2¹ × 3² × 5³ × 31¹ × 34877¹
LCM(69750,69754) = 2432670750