What is the Least Common Multiple of 63327 and 63344?
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 63327 and 63344 is 4011385488.
LCM(63327,63344) = 4011385488
Least Common Multiple of 63327 and 63344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63327 and 63344, than apply into the LCM equation.
GCF(63327,63344) = 1
LCM(63327,63344) = ( 63327 × 63344) / 1
LCM(63327,63344) = 4011385488 / 1
LCM(63327,63344) = 4011385488
Least Common Multiple (LCM) of 63327 and 63344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63327 and 63344. First we will calculate the prime factors of 63327 and 63344.
Prime Factorization of 63327
Prime factors of 63327 are 3, 11, 19, 101. Prime factorization of 63327 in exponential form is:
63327 = 31 × 111 × 191 × 1011
Prime Factorization of 63344
Prime factors of 63344 are 2, 37, 107. Prime factorization of 63344 in exponential form is:
63344 = 24 × 371 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 63327 and 63344.
LCM(63327,63344) = 31 × 111 × 191 × 1011 × 24 × 371 × 1071
LCM(63327,63344) = 4011385488
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