What is the Least Common Multiple of 77714 and 77734?

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 77734 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 77734, than apply into the LCM equation.

GCF(77714,77734) = 2
LCM(77714,77734) = ( 77714 × 77734) / 2
LCM(77714,77734) = 6041020076 / 2
LCM(77714,77734) = 3020510038

Least Common Multiple (LCM) of 77714 and 77734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77714 and 77734. First we will calculate the prime factors of 77714 and 77734.

Prime Factorization of 77714

Prime Factorization of 77734

Now multiplying the highest exponent prime factors to calculate the LCM of 77714 and 77734.

LCM(77714,77734) = 2¹ × 7² × 13¹ × 61¹ × 38867¹
LCM(77714,77734) = 3020510038