What is the Least Common Multiple of 35276 and 35283?

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 35276 and 35283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35276 and 35283, than apply into the LCM equation.

GCF(35276,35283) = 1
LCM(35276,35283) = ( 35276 × 35283) / 1
LCM(35276,35283) = 1244643108 / 1
LCM(35276,35283) = 1244643108

Least Common Multiple (LCM) of 35276 and 35283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35276 and 35283. First we will calculate the prime factors of 35276 and 35283.

Prime Factorization of 35276

Prime Factorization of 35283

Now multiplying the highest exponent prime factors to calculate the LCM of 35276 and 35283.

LCM(35276,35283) = 2² × 8819¹ × 3¹ × 19¹ × 619¹
LCM(35276,35283) = 1244643108