What is the Least Common Multiple of 79759 and 79777?

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 79759 and 79777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79759 and 79777, than apply into the LCM equation.

GCF(79759,79777) = 1
LCM(79759,79777) = ( 79759 × 79777) / 1
LCM(79759,79777) = 6362933743 / 1
LCM(79759,79777) = 6362933743

Least Common Multiple (LCM) of 79759 and 79777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79759 and 79777. First we will calculate the prime factors of 79759 and 79777.

Prime Factorization of 79759

Prime Factorization of 79777

Now multiplying the highest exponent prime factors to calculate the LCM of 79759 and 79777.

LCM(79759,79777) = 47¹ × 1697¹ × 79777¹
LCM(79759,79777) = 6362933743