What is the Least Common Multiple of 63201 and 63207?
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 63201 and 63207 is 1331581869.
LCM(63201,63207) = 1331581869
Least Common Multiple of 63201 and 63207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63201 and 63207, than apply into the LCM equation.
GCF(63201,63207) = 3
LCM(63201,63207) = ( 63201 × 63207) / 3
LCM(63201,63207) = 3994745607 / 3
LCM(63201,63207) = 1331581869
Least Common Multiple (LCM) of 63201 and 63207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63201 and 63207. First we will calculate the prime factors of 63201 and 63207.
Prime Factorization of 63201
Prime factors of 63201 are 3, 21067. Prime factorization of 63201 in exponential form is:
63201 = 31 × 210671
Prime Factorization of 63207
Prime factors of 63207 are 3, 2341. Prime factorization of 63207 in exponential form is:
63207 = 33 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 63201 and 63207.
LCM(63201,63207) = 33 × 210671 × 23411
LCM(63201,63207) = 1331581869
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Related Least Common Multiples of 63207
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