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What is the Least Common Multiple of 59363 and 59371?

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 59363 and 59371 is 3524440673.

LCM(59363,59371) = 3524440673

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Least Common Multiple of 59363 and 59371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59363 and 59371, than apply into the LCM equation.

GCF(59363,59371) = 1
LCM(59363,59371) = ( 59363 × 59371) / 1
LCM(59363,59371) = 3524440673 / 1
LCM(59363,59371) = 3524440673

Least Common Multiple (LCM) of 59363 and 59371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59363 and 59371. First we will calculate the prime factors of 59363 and 59371.

Prime Factorization of 59363

Prime factors of 59363 are 23, 29, 89. Prime factorization of 59363 in exponential form is:

59363 = 231 × 291 × 891

Prime Factorization of 59371

Prime factors of 59371 are 13, 4567. Prime factorization of 59371 in exponential form is:

59371 = 131 × 45671

Now multiplying the highest exponent prime factors to calculate the LCM of 59363 and 59371.

LCM(59363,59371) = 231 × 291 × 891 × 131 × 45671
LCM(59363,59371) = 3524440673