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What is the Least Common Multiple of 60831 and 60848?

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 60831 and 60848 is 3701444688.

LCM(60831,60848) = 3701444688

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Least Common Multiple of 60831 and 60848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60831 and 60848, than apply into the LCM equation.

GCF(60831,60848) = 1
LCM(60831,60848) = ( 60831 × 60848) / 1
LCM(60831,60848) = 3701444688 / 1
LCM(60831,60848) = 3701444688

Least Common Multiple (LCM) of 60831 and 60848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60831 and 60848. First we will calculate the prime factors of 60831 and 60848.

Prime Factorization of 60831

Prime factors of 60831 are 3, 751. Prime factorization of 60831 in exponential form is:

60831 = 34 × 7511

Prime Factorization of 60848

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

60848 = 24 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 60831 and 60848.

LCM(60831,60848) = 34 × 7511 × 24 × 38031
LCM(60831,60848) = 3701444688