What is the Least Common Multiple of 77671 and 77689?

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 77671 and 77689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77671 and 77689, than apply into the LCM equation.

GCF(77671,77689) = 1
LCM(77671,77689) = ( 77671 × 77689) / 1
LCM(77671,77689) = 6034182319 / 1
LCM(77671,77689) = 6034182319

Least Common Multiple (LCM) of 77671 and 77689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77671 and 77689. First we will calculate the prime factors of 77671 and 77689.

Prime Factorization of 77671

Prime Factorization of 77689

Now multiplying the highest exponent prime factors to calculate the LCM of 77671 and 77689.

LCM(77671,77689) = 11¹ × 23¹ × 307¹ × 77689¹
LCM(77671,77689) = 6034182319