What is the Least Common Multiple of 34749 and 34755?

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 34749 and 34755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34749 and 34755, than apply into the LCM equation.

GCF(34749,34755) = 3
LCM(34749,34755) = ( 34749 × 34755) / 3
LCM(34749,34755) = 1207701495 / 3
LCM(34749,34755) = 402567165

Least Common Multiple (LCM) of 34749 and 34755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34749 and 34755. First we will calculate the prime factors of 34749 and 34755.

Prime Factorization of 34749

Prime Factorization of 34755

Now multiplying the highest exponent prime factors to calculate the LCM of 34749 and 34755.

LCM(34749,34755) = 3⁵ × 11¹ × 13¹ × 5¹ × 7¹ × 331¹
LCM(34749,34755) = 402567165