What is the Least Common Multiple of 55787 and 55807?
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 55787 and 55807 is 3113305109.
LCM(55787,55807) = 3113305109
Least Common Multiple of 55787 and 55807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55787 and 55807, than apply into the LCM equation.
GCF(55787,55807) = 1
LCM(55787,55807) = ( 55787 × 55807) / 1
LCM(55787,55807) = 3113305109 / 1
LCM(55787,55807) = 3113305109
Least Common Multiple (LCM) of 55787 and 55807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55787 and 55807. First we will calculate the prime factors of 55787 and 55807.
Prime Factorization of 55787
Prime factors of 55787 are 55787. Prime factorization of 55787 in exponential form is:
55787 = 557871
Prime Factorization of 55807
Prime factors of 55807 are 55807. Prime factorization of 55807 in exponential form is:
55807 = 558071
Now multiplying the highest exponent prime factors to calculate the LCM of 55787 and 55807.
LCM(55787,55807) = 557871 × 558071
LCM(55787,55807) = 3113305109
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