What is the Least Common Multiple of 63331 and 63350?
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 63331 and 63350 is 4012018850.
LCM(63331,63350) = 4012018850
Least Common Multiple of 63331 and 63350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63331 and 63350, than apply into the LCM equation.
GCF(63331,63350) = 1
LCM(63331,63350) = ( 63331 × 63350) / 1
LCM(63331,63350) = 4012018850 / 1
LCM(63331,63350) = 4012018850
Least Common Multiple (LCM) of 63331 and 63350 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63331 and 63350. First we will calculate the prime factors of 63331 and 63350.
Prime Factorization of 63331
Prime factors of 63331 are 63331. Prime factorization of 63331 in exponential form is:
63331 = 633311
Prime Factorization of 63350
Prime factors of 63350 are 2, 5, 7, 181. Prime factorization of 63350 in exponential form is:
63350 = 21 × 52 × 71 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 63331 and 63350.
LCM(63331,63350) = 633311 × 21 × 52 × 71 × 1811
LCM(63331,63350) = 4012018850
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