What is the Least Common Multiple of 34738 and 34753?

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 34738 and 34753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34738 and 34753, than apply into the LCM equation.

GCF(34738,34753) = 1
LCM(34738,34753) = ( 34738 × 34753) / 1
LCM(34738,34753) = 1207249714 / 1
LCM(34738,34753) = 1207249714

Least Common Multiple (LCM) of 34738 and 34753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34738 and 34753. First we will calculate the prime factors of 34738 and 34753.

Prime Factorization of 34738

Prime Factorization of 34753

Now multiplying the highest exponent prime factors to calculate the LCM of 34738 and 34753.

LCM(34738,34753) = 2¹ × 11¹ × 1579¹ × 23¹ × 1511¹
LCM(34738,34753) = 1207249714