What is the Least Common Multiple of 77014 and 77032?

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 77014 and 77032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77014 and 77032, than apply into the LCM equation.

GCF(77014,77032) = 2
LCM(77014,77032) = ( 77014 × 77032) / 2
LCM(77014,77032) = 5932542448 / 2
LCM(77014,77032) = 2966271224

Least Common Multiple (LCM) of 77014 and 77032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77014 and 77032. First we will calculate the prime factors of 77014 and 77032.

Prime Factorization of 77014

Prime Factorization of 77032

Now multiplying the highest exponent prime factors to calculate the LCM of 77014 and 77032.

LCM(77014,77032) = 2³ × 7¹ × 5501¹ × 9629¹
LCM(77014,77032) = 2966271224