What is the Least Common Multiple of 66850 and 66864?

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 66850 and 66864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66850 and 66864, than apply into the LCM equation.

GCF(66850,66864) = 14
LCM(66850,66864) = ( 66850 × 66864) / 14
LCM(66850,66864) = 4469858400 / 14
LCM(66850,66864) = 319275600

Least Common Multiple (LCM) of 66850 and 66864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66850 and 66864. First we will calculate the prime factors of 66850 and 66864.

Prime Factorization of 66850

Prime Factorization of 66864

Now multiplying the highest exponent prime factors to calculate the LCM of 66850 and 66864.

LCM(66850,66864) = 2⁴ × 5² × 7¹ × 191¹ × 3¹ × 199¹
LCM(66850,66864) = 319275600