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What is the Least Common Multiple of 59851 and 59861?

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 59851 and 59861 is 3582740711.

LCM(59851,59861) = 3582740711

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Least Common Multiple of 59851 and 59861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59851 and 59861, than apply into the LCM equation.

GCF(59851,59861) = 1
LCM(59851,59861) = ( 59851 × 59861) / 1
LCM(59851,59861) = 3582740711 / 1
LCM(59851,59861) = 3582740711

Least Common Multiple (LCM) of 59851 and 59861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59851 and 59861. First we will calculate the prime factors of 59851 and 59861.

Prime Factorization of 59851

Prime factors of 59851 are 11, 5441. Prime factorization of 59851 in exponential form is:

59851 = 111 × 54411

Prime Factorization of 59861

Prime factors of 59861 are 31, 1931. Prime factorization of 59861 in exponential form is:

59861 = 311 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 59851 and 59861.

LCM(59851,59861) = 111 × 54411 × 311 × 19311
LCM(59851,59861) = 3582740711