What is the Least Common Multiple of 34769 and 34775?

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 34769 and 34775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34769 and 34775, than apply into the LCM equation.

GCF(34769,34775) = 1
LCM(34769,34775) = ( 34769 × 34775) / 1
LCM(34769,34775) = 1209091975 / 1
LCM(34769,34775) = 1209091975

Least Common Multiple (LCM) of 34769 and 34775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34769 and 34775. First we will calculate the prime factors of 34769 and 34775.

Prime Factorization of 34769

Prime Factorization of 34775

Now multiplying the highest exponent prime factors to calculate the LCM of 34769 and 34775.

LCM(34769,34775) = 7¹ × 4967¹ × 5² × 13¹ × 107¹
LCM(34769,34775) = 1209091975