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What is the Least Common Multiple of 59791 and 59802?

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 59791 and 59802 is 3575621382.

LCM(59791,59802) = 3575621382

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Least Common Multiple of 59791 and 59802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59791 and 59802, than apply into the LCM equation.

GCF(59791,59802) = 1
LCM(59791,59802) = ( 59791 × 59802) / 1
LCM(59791,59802) = 3575621382 / 1
LCM(59791,59802) = 3575621382

Least Common Multiple (LCM) of 59791 and 59802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59791 and 59802. First we will calculate the prime factors of 59791 and 59802.

Prime Factorization of 59791

Prime factors of 59791 are 59791. Prime factorization of 59791 in exponential form is:

59791 = 597911

Prime Factorization of 59802

Prime factors of 59802 are 2, 3, 9967. Prime factorization of 59802 in exponential form is:

59802 = 21 × 31 × 99671

Now multiplying the highest exponent prime factors to calculate the LCM of 59791 and 59802.

LCM(59791,59802) = 597911 × 21 × 31 × 99671
LCM(59791,59802) = 3575621382