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What is the Least Common Multiple of 60848 and 60861?

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 60848 and 60861 is 3703270128.

LCM(60848,60861) = 3703270128

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Least Common Multiple of 60848 and 60861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60848 and 60861, than apply into the LCM equation.

GCF(60848,60861) = 1
LCM(60848,60861) = ( 60848 × 60861) / 1
LCM(60848,60861) = 3703270128 / 1
LCM(60848,60861) = 3703270128

Least Common Multiple (LCM) of 60848 and 60861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60848 and 60861. First we will calculate the prime factors of 60848 and 60861.

Prime Factorization of 60848

Prime factors of 60848 are 2, 3803. Prime factorization of 60848 in exponential form is:

60848 = 24 × 38031

Prime Factorization of 60861

Prime factors of 60861 are 3, 20287. Prime factorization of 60861 in exponential form is:

60861 = 31 × 202871

Now multiplying the highest exponent prime factors to calculate the LCM of 60848 and 60861.

LCM(60848,60861) = 24 × 38031 × 31 × 202871
LCM(60848,60861) = 3703270128