What is the Least Common Multiple of 63197 and 63202?
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 63197 and 63202 is 3994176794.
LCM(63197,63202) = 3994176794
Least Common Multiple of 63197 and 63202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63197 and 63202, than apply into the LCM equation.
GCF(63197,63202) = 1
LCM(63197,63202) = ( 63197 × 63202) / 1
LCM(63197,63202) = 3994176794 / 1
LCM(63197,63202) = 3994176794
Least Common Multiple (LCM) of 63197 and 63202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63197 and 63202. First we will calculate the prime factors of 63197 and 63202.
Prime Factorization of 63197
Prime factors of 63197 are 63197. Prime factorization of 63197 in exponential form is:
63197 = 631971
Prime Factorization of 63202
Prime factors of 63202 are 2, 31601. Prime factorization of 63202 in exponential form is:
63202 = 21 × 316011
Now multiplying the highest exponent prime factors to calculate the LCM of 63197 and 63202.
LCM(63197,63202) = 631971 × 21 × 316011
LCM(63197,63202) = 3994176794
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