What is the Least Common Multiple of 31759 and 31779?

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 31759 and 31779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31759 and 31779, than apply into the LCM equation.

GCF(31759,31779) = 1
LCM(31759,31779) = ( 31759 × 31779) / 1
LCM(31759,31779) = 1009269261 / 1
LCM(31759,31779) = 1009269261

Least Common Multiple (LCM) of 31759 and 31779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31759 and 31779. First we will calculate the prime factors of 31759 and 31779.

Prime Factorization of 31759

Prime Factorization of 31779

Now multiplying the highest exponent prime factors to calculate the LCM of 31759 and 31779.

LCM(31759,31779) = 7¹ × 13¹ × 349¹ × 3³ × 11¹ × 107¹
LCM(31759,31779) = 1009269261