What is the Least Common Multiple of 66745 and 66750?

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 66745 and 66750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66745 and 66750, than apply into the LCM equation.

GCF(66745,66750) = 5
LCM(66745,66750) = ( 66745 × 66750) / 5
LCM(66745,66750) = 4455228750 / 5
LCM(66745,66750) = 891045750

Least Common Multiple (LCM) of 66745 and 66750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66745 and 66750. First we will calculate the prime factors of 66745 and 66750.

Prime Factorization of 66745

Prime Factorization of 66750

Now multiplying the highest exponent prime factors to calculate the LCM of 66745 and 66750.

LCM(66745,66750) = 5³ × 7¹ × 1907¹ × 2¹ × 3¹ × 89¹
LCM(66745,66750) = 891045750