What is the Least Common Multiple of 35454 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 35454 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 35454 and 35460, than apply into the LCM equation.

GCF(35454,35460) = 6
LCM(35454,35460) = ( 35454 × 35460) / 6
LCM(35454,35460) = 1257198840 / 6
LCM(35454,35460) = 209533140

Least Common Multiple (LCM) of 35454 and 35460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35454 and 35460. First we will calculate the prime factors of 35454 and 35460.

Prime Factorization of 35454

Prime Factorization of 35460

Now multiplying the highest exponent prime factors to calculate the LCM of 35454 and 35460.

LCM(35454,35460) = 2² × 3² × 19¹ × 311¹ × 5¹ × 197¹
LCM(35454,35460) = 209533140