What is the Least Common Multiple of 77714 and 77731?

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 77714 and 77731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77714 and 77731, than apply into the LCM equation.

GCF(77714,77731) = 1
LCM(77714,77731) = ( 77714 × 77731) / 1
LCM(77714,77731) = 6040786934 / 1
LCM(77714,77731) = 6040786934

Least Common Multiple (LCM) of 77714 and 77731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77714 and 77731. First we will calculate the prime factors of 77714 and 77731.

Prime Factorization of 77714

Prime Factorization of 77731

Now multiplying the highest exponent prime factors to calculate the LCM of 77714 and 77731.

LCM(77714,77731) = 2¹ × 7² × 13¹ × 61¹ × 77731¹
LCM(77714,77731) = 6040786934