What is the Least Common Multiple of 63607 and 63612?
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 63607 and 63612 is 4046168484.
LCM(63607,63612) = 4046168484
Least Common Multiple of 63607 and 63612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63607 and 63612, than apply into the LCM equation.
GCF(63607,63612) = 1
LCM(63607,63612) = ( 63607 × 63612) / 1
LCM(63607,63612) = 4046168484 / 1
LCM(63607,63612) = 4046168484
Least Common Multiple (LCM) of 63607 and 63612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63607 and 63612. First we will calculate the prime factors of 63607 and 63612.
Prime Factorization of 63607
Prime factors of 63607 are 63607. Prime factorization of 63607 in exponential form is:
63607 = 636071
Prime Factorization of 63612
Prime factors of 63612 are 2, 3, 19, 31. Prime factorization of 63612 in exponential form is:
63612 = 22 × 33 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 63607 and 63612.
LCM(63607,63612) = 636071 × 22 × 33 × 191 × 311
LCM(63607,63612) = 4046168484
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