What is the Least Common Multiple of 77911 and 77915?

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 77911 and 77915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77911 and 77915, than apply into the LCM equation.

GCF(77911,77915) = 1
LCM(77911,77915) = ( 77911 × 77915) / 1
LCM(77911,77915) = 6070435565 / 1
LCM(77911,77915) = 6070435565

Least Common Multiple (LCM) of 77911 and 77915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77911 and 77915. First we will calculate the prime factors of 77911 and 77915.

Prime Factorization of 77911

Prime Factorization of 77915

Now multiplying the highest exponent prime factors to calculate the LCM of 77911 and 77915.

LCM(77911,77915) = 17¹ × 4583¹ × 5¹ × 15583¹
LCM(77911,77915) = 6070435565