What is the Least Common Multiple of 35456 and 35460?

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 35456 and 35460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35456 and 35460, than apply into the LCM equation.

GCF(35456,35460) = 4
LCM(35456,35460) = ( 35456 × 35460) / 4
LCM(35456,35460) = 1257269760 / 4
LCM(35456,35460) = 314317440

Least Common Multiple (LCM) of 35456 and 35460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35456 and 35460. First we will calculate the prime factors of 35456 and 35460.

Prime Factorization of 35456

Prime Factorization of 35460

Now multiplying the highest exponent prime factors to calculate the LCM of 35456 and 35460.

LCM(35456,35460) = 2⁷ × 277¹ × 3² × 5¹ × 197¹
LCM(35456,35460) = 314317440