What is the Least Common Multiple of 55995 and 56008?
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 55995 and 56008 is 3136167960.
LCM(55995,56008) = 3136167960
Least Common Multiple of 55995 and 56008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55995 and 56008, than apply into the LCM equation.
GCF(55995,56008) = 1
LCM(55995,56008) = ( 55995 × 56008) / 1
LCM(55995,56008) = 3136167960 / 1
LCM(55995,56008) = 3136167960
Least Common Multiple (LCM) of 55995 and 56008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55995 and 56008. First we will calculate the prime factors of 55995 and 56008.
Prime Factorization of 55995
Prime factors of 55995 are 3, 5, 3733. Prime factorization of 55995 in exponential form is:
55995 = 31 × 51 × 37331
Prime Factorization of 56008
Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:
56008 = 23 × 70011
Now multiplying the highest exponent prime factors to calculate the LCM of 55995 and 56008.
LCM(55995,56008) = 31 × 51 × 37331 × 23 × 70011
LCM(55995,56008) = 3136167960
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