What is the Least Common Multiple of 77008 and 77014?

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 77008 and 77014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77008 and 77014, than apply into the LCM equation.

GCF(77008,77014) = 2
LCM(77008,77014) = ( 77008 × 77014) / 2
LCM(77008,77014) = 5930694112 / 2
LCM(77008,77014) = 2965347056

Least Common Multiple (LCM) of 77008 and 77014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77008 and 77014. First we will calculate the prime factors of 77008 and 77014.

Prime Factorization of 77008

Prime Factorization of 77014

Now multiplying the highest exponent prime factors to calculate the LCM of 77008 and 77014.

LCM(77008,77014) = 2⁴ × 4813¹ × 7¹ × 5501¹
LCM(77008,77014) = 2965347056