What is the Least Common Multiple of 66396 and 66416?

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 66396 and 66416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66396 and 66416, than apply into the LCM equation.

GCF(66396,66416) = 4
LCM(66396,66416) = ( 66396 × 66416) / 4
LCM(66396,66416) = 4409756736 / 4
LCM(66396,66416) = 1102439184

Least Common Multiple (LCM) of 66396 and 66416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66396 and 66416. First we will calculate the prime factors of 66396 and 66416.

Prime Factorization of 66396

Prime Factorization of 66416

Now multiplying the highest exponent prime factors to calculate the LCM of 66396 and 66416.

LCM(66396,66416) = 2⁴ × 3¹ × 11¹ × 503¹ × 7¹ × 593¹
LCM(66396,66416) = 1102439184