What is the Least Common Multiple of 63028 and 63037?
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 63028 and 63037 is 3973096036.
LCM(63028,63037) = 3973096036
Least Common Multiple of 63028 and 63037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63028 and 63037, than apply into the LCM equation.
GCF(63028,63037) = 1
LCM(63028,63037) = ( 63028 × 63037) / 1
LCM(63028,63037) = 3973096036 / 1
LCM(63028,63037) = 3973096036
Least Common Multiple (LCM) of 63028 and 63037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63028 and 63037. First we will calculate the prime factors of 63028 and 63037.
Prime Factorization of 63028
Prime factors of 63028 are 2, 7, 2251. Prime factorization of 63028 in exponential form is:
63028 = 22 × 71 × 22511
Prime Factorization of 63037
Prime factors of 63037 are 13, 373. Prime factorization of 63037 in exponential form is:
63037 = 132 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 63028 and 63037.
LCM(63028,63037) = 22 × 71 × 22511 × 132 × 3731
LCM(63028,63037) = 3973096036
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