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What is the Least Common Multiple of 53469 and 53478?

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 53469 and 53478 is 317712798.

LCM(53469,53478) = 317712798

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Least Common Multiple of 53469 and 53478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53469 and 53478, than apply into the LCM equation.

GCF(53469,53478) = 9
LCM(53469,53478) = ( 53469 × 53478) / 9
LCM(53469,53478) = 2859415182 / 9
LCM(53469,53478) = 317712798

Least Common Multiple (LCM) of 53469 and 53478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53469 and 53478. First we will calculate the prime factors of 53469 and 53478.

Prime Factorization of 53469

Prime factors of 53469 are 3, 13, 457. Prime factorization of 53469 in exponential form is:

53469 = 32 × 131 × 4571

Prime Factorization of 53478

Prime factors of 53478 are 2, 3, 2971. Prime factorization of 53478 in exponential form is:

53478 = 21 × 32 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 53469 and 53478.

LCM(53469,53478) = 32 × 131 × 4571 × 21 × 29711
LCM(53469,53478) = 317712798