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What is the Least Common Multiple of 9451 and 9462?

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 9451 and 9462 is 89425362.

LCM(9451,9462) = 89425362

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Least Common Multiple of 9451 and 9462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9451 and 9462, than apply into the LCM equation.

GCF(9451,9462) = 1
LCM(9451,9462) = ( 9451 × 9462) / 1
LCM(9451,9462) = 89425362 / 1
LCM(9451,9462) = 89425362

Least Common Multiple (LCM) of 9451 and 9462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9451 and 9462. First we will calculate the prime factors of 9451 and 9462.

Prime Factorization of 9451

Prime factors of 9451 are 13, 727. Prime factorization of 9451 in exponential form is:

9451 = 131 × 7271

Prime Factorization of 9462

Prime factors of 9462 are 2, 3, 19, 83. Prime factorization of 9462 in exponential form is:

9462 = 21 × 31 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9451 and 9462.

LCM(9451,9462) = 131 × 7271 × 21 × 31 × 191 × 831
LCM(9451,9462) = 89425362