What is the Least Common Multiple of 63023 and 63030?
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 63023 and 63030 is 3972339690.
LCM(63023,63030) = 3972339690
Least Common Multiple of 63023 and 63030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63023 and 63030, than apply into the LCM equation.
GCF(63023,63030) = 1
LCM(63023,63030) = ( 63023 × 63030) / 1
LCM(63023,63030) = 3972339690 / 1
LCM(63023,63030) = 3972339690
Least Common Multiple (LCM) of 63023 and 63030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63023 and 63030. First we will calculate the prime factors of 63023 and 63030.
Prime Factorization of 63023
Prime factors of 63023 are 19, 31, 107. Prime factorization of 63023 in exponential form is:
63023 = 191 × 311 × 1071
Prime Factorization of 63030
Prime factors of 63030 are 2, 3, 5, 11, 191. Prime factorization of 63030 in exponential form is:
63030 = 21 × 31 × 51 × 111 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 63023 and 63030.
LCM(63023,63030) = 191 × 311 × 1071 × 21 × 31 × 51 × 111 × 1911
LCM(63023,63030) = 3972339690
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