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What is the Least Common Multiple of 59877 and 59890?

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 59877 and 59890 is 3586033530.

LCM(59877,59890) = 3586033530

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Least Common Multiple of 59877 and 59890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59877 and 59890, than apply into the LCM equation.

GCF(59877,59890) = 1
LCM(59877,59890) = ( 59877 × 59890) / 1
LCM(59877,59890) = 3586033530 / 1
LCM(59877,59890) = 3586033530

Least Common Multiple (LCM) of 59877 and 59890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59877 and 59890. First we will calculate the prime factors of 59877 and 59890.

Prime Factorization of 59877

Prime factors of 59877 are 3, 6653. Prime factorization of 59877 in exponential form is:

59877 = 32 × 66531

Prime Factorization of 59890

Prime factors of 59890 are 2, 5, 53, 113. Prime factorization of 59890 in exponential form is:

59890 = 21 × 51 × 531 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 59877 and 59890.

LCM(59877,59890) = 32 × 66531 × 21 × 51 × 531 × 1131
LCM(59877,59890) = 3586033530