What is the Least Common Multiple of 34761 and 34771?

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 34761 and 34771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34761 and 34771, than apply into the LCM equation.

GCF(34761,34771) = 1
LCM(34761,34771) = ( 34761 × 34771) / 1
LCM(34761,34771) = 1208674731 / 1
LCM(34761,34771) = 1208674731

Least Common Multiple (LCM) of 34761 and 34771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34761 and 34771. First we will calculate the prime factors of 34761 and 34771.

Prime Factorization of 34761

Prime Factorization of 34771

Now multiplying the highest exponent prime factors to calculate the LCM of 34761 and 34771.

LCM(34761,34771) = 3¹ × 11587¹ × 11¹ × 29¹ × 109¹
LCM(34761,34771) = 1208674731