What is the Least Common Multiple of 35274 and 35288?

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 35274 and 35288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35274 and 35288, than apply into the LCM equation.

GCF(35274,35288) = 2
LCM(35274,35288) = ( 35274 × 35288) / 2
LCM(35274,35288) = 1244748912 / 2
LCM(35274,35288) = 622374456

Least Common Multiple (LCM) of 35274 and 35288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35274 and 35288. First we will calculate the prime factors of 35274 and 35288.

Prime Factorization of 35274

Prime Factorization of 35288

Now multiplying the highest exponent prime factors to calculate the LCM of 35274 and 35288.

LCM(35274,35288) = 2³ × 3¹ × 5879¹ × 11¹ × 401¹
LCM(35274,35288) = 622374456