What is the Least Common Multiple of 66416 and 66423?

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 66416 and 66423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66416 and 66423, than apply into the LCM equation.

GCF(66416,66423) = 7
LCM(66416,66423) = ( 66416 × 66423) / 7
LCM(66416,66423) = 4411549968 / 7
LCM(66416,66423) = 630221424

Least Common Multiple (LCM) of 66416 and 66423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66416 and 66423. First we will calculate the prime factors of 66416 and 66423.

Prime Factorization of 66416

Prime Factorization of 66423

Now multiplying the highest exponent prime factors to calculate the LCM of 66416 and 66423.

LCM(66416,66423) = 2⁴ × 7¹ × 593¹ × 3¹ × 3163¹
LCM(66416,66423) = 630221424