What is the Least Common Multiple of 10746 and 10750?

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 10746 and 10750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10746 and 10750, than apply into the LCM equation.

GCF(10746,10750) = 2
LCM(10746,10750) = ( 10746 × 10750) / 2
LCM(10746,10750) = 115519500 / 2
LCM(10746,10750) = 57759750

Least Common Multiple (LCM) of 10746 and 10750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10746 and 10750. First we will calculate the prime factors of 10746 and 10750.

Prime Factorization of 10746

Prime Factorization of 10750

Now multiplying the highest exponent prime factors to calculate the LCM of 10746 and 10750.

LCM(10746,10750) = 2¹ × 3³ × 199¹ × 5³ × 43¹
LCM(10746,10750) = 57759750