What is the Least Common Multiple of 7714 and 7726?

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 7714 and 7726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7714 and 7726, than apply into the LCM equation.

GCF(7714,7726) = 2
LCM(7714,7726) = ( 7714 × 7726) / 2
LCM(7714,7726) = 59598364 / 2
LCM(7714,7726) = 29799182

Least Common Multiple (LCM) of 7714 and 7726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7714 and 7726. First we will calculate the prime factors of 7714 and 7726.

Prime Factorization of 7714

Prime Factorization of 7726

Now multiplying the highest exponent prime factors to calculate the LCM of 7714 and 7726.

LCM(7714,7726) = 2¹ × 7¹ × 19¹ × 29¹ × 3863¹
LCM(7714,7726) = 29799182