What is the Least Common Multiple of 65996 and 66014?

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 66014 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 66014, than apply into the LCM equation.

GCF(65996,66014) = 2
LCM(65996,66014) = ( 65996 × 66014) / 2
LCM(65996,66014) = 4356659944 / 2
LCM(65996,66014) = 2178329972

Least Common Multiple (LCM) of 65996 and 66014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65996 and 66014. First we will calculate the prime factors of 65996 and 66014.

Prime Factorization of 65996

Prime Factorization of 66014

Now multiplying the highest exponent prime factors to calculate the LCM of 65996 and 66014.

LCM(65996,66014) = 2² × 7¹ × 2357¹ × 13¹ × 2539¹
LCM(65996,66014) = 2178329972