GCF and LCM Calculator Logo

What is the Least Common Multiple of 442 and 454?

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 (LCM) of 442 and 454 is 100334.

LCM(442,454) = 100334

LCM Calculator and
and

Least Common Multiple of 442 and 454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 454, than apply into the LCM equation.

GCF(442,454) = 2
LCM(442,454) = ( 442 × 454) / 2
LCM(442,454) = 200668 / 2
LCM(442,454) = 100334

Least Common Multiple (LCM) of 442 and 454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 454. First we will calculate the prime factors of 442 and 454.

Prime Factorization of 442

Prime factors of 442 are 2, 13, 17. Prime factorization of 442 in exponential form is:

442 = 21 × 131 × 171

Prime Factorization of 454

Prime factors of 454 are 2, 227. Prime factorization of 454 in exponential form is:

454 = 21 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 454.

LCM(442,454) = 21 × 131 × 171 × 2271
LCM(442,454) = 100334