What is the Least Common Multiple of 56665 and 56672?
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 56665 and 56672 is 458759840.
LCM(56665,56672) = 458759840
Least Common Multiple of 56665 and 56672 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56665 and 56672, than apply into the LCM equation.
GCF(56665,56672) = 7
LCM(56665,56672) = ( 56665 × 56672) / 7
LCM(56665,56672) = 3211318880 / 7
LCM(56665,56672) = 458759840
Least Common Multiple (LCM) of 56665 and 56672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56665 and 56672. First we will calculate the prime factors of 56665 and 56672.
Prime Factorization of 56665
Prime factors of 56665 are 5, 7, 1619. Prime factorization of 56665 in exponential form is:
56665 = 51 × 71 × 16191
Prime Factorization of 56672
Prime factors of 56672 are 2, 7, 11, 23. Prime factorization of 56672 in exponential form is:
56672 = 25 × 71 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 56665 and 56672.
LCM(56665,56672) = 51 × 71 × 16191 × 25 × 111 × 231
LCM(56665,56672) = 458759840
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