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What is the Least Common Multiple of 52453 and 52466?

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 52453 and 52466 is 2751999098.

LCM(52453,52466) = 2751999098

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Least Common Multiple of 52453 and 52466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52453 and 52466, than apply into the LCM equation.

GCF(52453,52466) = 1
LCM(52453,52466) = ( 52453 × 52466) / 1
LCM(52453,52466) = 2751999098 / 1
LCM(52453,52466) = 2751999098

Least Common Multiple (LCM) of 52453 and 52466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52453 and 52466. First we will calculate the prime factors of 52453 and 52466.

Prime Factorization of 52453

Prime factors of 52453 are 52453. Prime factorization of 52453 in exponential form is:

52453 = 524531

Prime Factorization of 52466

Prime factors of 52466 are 2, 37, 709. Prime factorization of 52466 in exponential form is:

52466 = 21 × 371 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 52453 and 52466.

LCM(52453,52466) = 524531 × 21 × 371 × 7091
LCM(52453,52466) = 2751999098