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What is the Least Common Multiple of 63080 and 63091?

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 63080 and 63091 is 3979780280.

LCM(63080,63091) = 3979780280

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Least Common Multiple of 63080 and 63091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63080 and 63091, than apply into the LCM equation.

GCF(63080,63091) = 1
LCM(63080,63091) = ( 63080 × 63091) / 1
LCM(63080,63091) = 3979780280 / 1
LCM(63080,63091) = 3979780280

Least Common Multiple (LCM) of 63080 and 63091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63080 and 63091. First we will calculate the prime factors of 63080 and 63091.

Prime Factorization of 63080

Prime factors of 63080 are 2, 5, 19, 83. Prime factorization of 63080 in exponential form is:

63080 = 23 × 51 × 191 × 831

Prime Factorization of 63091

Prime factors of 63091 are 7, 9013. Prime factorization of 63091 in exponential form is:

63091 = 71 × 90131

Now multiplying the highest exponent prime factors to calculate the LCM of 63080 and 63091.

LCM(63080,63091) = 23 × 51 × 191 × 831 × 71 × 90131
LCM(63080,63091) = 3979780280