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What is the Least Common Multiple of 10450 and 10455?

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 10450 and 10455 is 21850950.

LCM(10450,10455) = 21850950

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Least Common Multiple of 10450 and 10455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10450 and 10455, than apply into the LCM equation.

GCF(10450,10455) = 5
LCM(10450,10455) = ( 10450 × 10455) / 5
LCM(10450,10455) = 109254750 / 5
LCM(10450,10455) = 21850950

Least Common Multiple (LCM) of 10450 and 10455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10450 and 10455. First we will calculate the prime factors of 10450 and 10455.

Prime Factorization of 10450

Prime factors of 10450 are 2, 5, 11, 19. Prime factorization of 10450 in exponential form is:

10450 = 21 × 52 × 111 × 191

Prime Factorization of 10455

Prime factors of 10455 are 3, 5, 17, 41. Prime factorization of 10455 in exponential form is:

10455 = 31 × 51 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10450 and 10455.

LCM(10450,10455) = 21 × 52 × 111 × 191 × 31 × 171 × 411
LCM(10450,10455) = 21850950