What is the Least Common Multiple of 35514 and 35522?

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 35514 and 35522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35514 and 35522, than apply into the LCM equation.

GCF(35514,35522) = 2
LCM(35514,35522) = ( 35514 × 35522) / 2
LCM(35514,35522) = 1261528308 / 2
LCM(35514,35522) = 630764154

Least Common Multiple (LCM) of 35514 and 35522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35514 and 35522. First we will calculate the prime factors of 35514 and 35522.

Prime Factorization of 35514

Prime Factorization of 35522

Now multiplying the highest exponent prime factors to calculate the LCM of 35514 and 35522.

LCM(35514,35522) = 2¹ × 3² × 1973¹ × 17761¹
LCM(35514,35522) = 630764154