What is the Least Common Multiple of 35754 and 35773?

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 35754 and 35773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35754 and 35773, than apply into the LCM equation.

GCF(35754,35773) = 1
LCM(35754,35773) = ( 35754 × 35773) / 1
LCM(35754,35773) = 1279027842 / 1
LCM(35754,35773) = 1279027842

Least Common Multiple (LCM) of 35754 and 35773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35754 and 35773. First we will calculate the prime factors of 35754 and 35773.

Prime Factorization of 35754

Prime Factorization of 35773

Now multiplying the highest exponent prime factors to calculate the LCM of 35754 and 35773.

LCM(35754,35773) = 2¹ × 3¹ × 59¹ × 101¹ × 83¹ × 431¹
LCM(35754,35773) = 1279027842