What is the Least Common Multiple of 77014 and 77031?

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 77031 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 77031, than apply into the LCM equation.

GCF(77014,77031) = 1
LCM(77014,77031) = ( 77014 × 77031) / 1
LCM(77014,77031) = 5932465434 / 1
LCM(77014,77031) = 5932465434

Least Common Multiple (LCM) of 77014 and 77031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77014 and 77031. First we will calculate the prime factors of 77014 and 77031.

Prime Factorization of 77014

Prime Factorization of 77031

Now multiplying the highest exponent prime factors to calculate the LCM of 77014 and 77031.

LCM(77014,77031) = 2¹ × 7¹ × 5501¹ × 3⁵ × 317¹
LCM(77014,77031) = 5932465434