What is the Least Common Multiple of 65996 and 66016?

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 65996 and 66016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65996 and 66016, than apply into the LCM equation.

GCF(65996,66016) = 4
LCM(65996,66016) = ( 65996 × 66016) / 4
LCM(65996,66016) = 4356791936 / 4
LCM(65996,66016) = 1089197984

Least Common Multiple (LCM) of 65996 and 66016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65996 and 66016. First we will calculate the prime factors of 65996 and 66016.

Prime Factorization of 65996

Prime Factorization of 66016

Now multiplying the highest exponent prime factors to calculate the LCM of 65996 and 66016.

LCM(65996,66016) = 2⁵ × 7¹ × 2357¹ × 2063¹
LCM(65996,66016) = 1089197984