What is the Least Common Multiple of 63183 and 63188?
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 63183 and 63188 is 3992407404.
LCM(63183,63188) = 3992407404
Least Common Multiple of 63183 and 63188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63183 and 63188, than apply into the LCM equation.
GCF(63183,63188) = 1
LCM(63183,63188) = ( 63183 × 63188) / 1
LCM(63183,63188) = 3992407404 / 1
LCM(63183,63188) = 3992407404
Least Common Multiple (LCM) of 63183 and 63188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63183 and 63188. First we will calculate the prime factors of 63183 and 63188.
Prime Factorization of 63183
Prime factors of 63183 are 3, 21061. Prime factorization of 63183 in exponential form is:
63183 = 31 × 210611
Prime Factorization of 63188
Prime factors of 63188 are 2, 15797. Prime factorization of 63188 in exponential form is:
63188 = 22 × 157971
Now multiplying the highest exponent prime factors to calculate the LCM of 63183 and 63188.
LCM(63183,63188) = 31 × 210611 × 22 × 157971
LCM(63183,63188) = 3992407404
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