What is the Least Common Multiple of 63358 and 63371?
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 63358 and 63371 is 4015059818.
LCM(63358,63371) = 4015059818
Least Common Multiple of 63358 and 63371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63358 and 63371, than apply into the LCM equation.
GCF(63358,63371) = 1
LCM(63358,63371) = ( 63358 × 63371) / 1
LCM(63358,63371) = 4015059818 / 1
LCM(63358,63371) = 4015059818
Least Common Multiple (LCM) of 63358 and 63371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63358 and 63371. First we will calculate the prime factors of 63358 and 63371.
Prime Factorization of 63358
Prime factors of 63358 are 2, 79, 401. Prime factorization of 63358 in exponential form is:
63358 = 21 × 791 × 4011
Prime Factorization of 63371
Prime factors of 63371 are 7, 11, 823. Prime factorization of 63371 in exponential form is:
63371 = 71 × 111 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 63358 and 63371.
LCM(63358,63371) = 21 × 791 × 4011 × 71 × 111 × 8231
LCM(63358,63371) = 4015059818
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