What is the Least Common Multiple of 63927 and 63944?
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 63927 and 63944 is 4087748088.
LCM(63927,63944) = 4087748088
Least Common Multiple of 63927 and 63944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63927 and 63944, than apply into the LCM equation.
GCF(63927,63944) = 1
LCM(63927,63944) = ( 63927 × 63944) / 1
LCM(63927,63944) = 4087748088 / 1
LCM(63927,63944) = 4087748088
Least Common Multiple (LCM) of 63927 and 63944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63927 and 63944. First we will calculate the prime factors of 63927 and 63944.
Prime Factorization of 63927
Prime factors of 63927 are 3, 7103. Prime factorization of 63927 in exponential form is:
63927 = 32 × 71031
Prime Factorization of 63944
Prime factors of 63944 are 2, 7993. Prime factorization of 63944 in exponential form is:
63944 = 23 × 79931
Now multiplying the highest exponent prime factors to calculate the LCM of 63927 and 63944.
LCM(63927,63944) = 32 × 71031 × 23 × 79931
LCM(63927,63944) = 4087748088
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