What is the Least Common Multiple of 63037 and 63041?
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 63037 and 63041 is 3973915517.
LCM(63037,63041) = 3973915517
Least Common Multiple of 63037 and 63041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63037 and 63041, than apply into the LCM equation.
GCF(63037,63041) = 1
LCM(63037,63041) = ( 63037 × 63041) / 1
LCM(63037,63041) = 3973915517 / 1
LCM(63037,63041) = 3973915517
Least Common Multiple (LCM) of 63037 and 63041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63037 and 63041. First we will calculate the prime factors of 63037 and 63041.
Prime Factorization of 63037
Prime factors of 63037 are 13, 373. Prime factorization of 63037 in exponential form is:
63037 = 132 × 3731
Prime Factorization of 63041
Prime factors of 63041 are 11, 521. Prime factorization of 63041 in exponential form is:
63041 = 112 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 63037 and 63041.
LCM(63037,63041) = 132 × 3731 × 112 × 5211
LCM(63037,63041) = 3973915517
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