What is the Least Common Multiple of 56598 and 56607?
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 56598 and 56607 is 1067947662.
LCM(56598,56607) = 1067947662
Least Common Multiple of 56598 and 56607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56598 and 56607, than apply into the LCM equation.
GCF(56598,56607) = 3
LCM(56598,56607) = ( 56598 × 56607) / 3
LCM(56598,56607) = 3203842986 / 3
LCM(56598,56607) = 1067947662
Least Common Multiple (LCM) of 56598 and 56607 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56598 and 56607. First we will calculate the prime factors of 56598 and 56607.
Prime Factorization of 56598
Prime factors of 56598 are 2, 3, 9433. Prime factorization of 56598 in exponential form is:
56598 = 21 × 31 × 94331
Prime Factorization of 56607
Prime factors of 56607 are 3, 18869. Prime factorization of 56607 in exponential form is:
56607 = 31 × 188691
Now multiplying the highest exponent prime factors to calculate the LCM of 56598 and 56607.
LCM(56598,56607) = 21 × 31 × 94331 × 188691
LCM(56598,56607) = 1067947662
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