What is the Least Common Multiple of 63081 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 63081 and 63091 is 3979843371.
LCM(63081,63091) = 3979843371
Least Common Multiple of 63081 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 63081 and 63091, than apply into the LCM equation.
GCF(63081,63091) = 1
LCM(63081,63091) = ( 63081 × 63091) / 1
LCM(63081,63091) = 3979843371 / 1
LCM(63081,63091) = 3979843371
Least Common Multiple (LCM) of 63081 and 63091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63081 and 63091. First we will calculate the prime factors of 63081 and 63091.
Prime Factorization of 63081
Prime factors of 63081 are 3, 43, 163. Prime factorization of 63081 in exponential form is:
63081 = 32 × 431 × 1631
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 63081 and 63091.
LCM(63081,63091) = 32 × 431 × 1631 × 71 × 90131
LCM(63081,63091) = 3979843371
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