What is the Least Common Multiple of 60599 and 60603?
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 60599 and 60603 is 3672481197.
LCM(60599,60603) = 3672481197
Least Common Multiple of 60599 and 60603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60599 and 60603, than apply into the LCM equation.
GCF(60599,60603) = 1
LCM(60599,60603) = ( 60599 × 60603) / 1
LCM(60599,60603) = 3672481197 / 1
LCM(60599,60603) = 3672481197
Least Common Multiple (LCM) of 60599 and 60603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60599 and 60603. First we will calculate the prime factors of 60599 and 60603.
Prime Factorization of 60599
Prime factors of 60599 are 7, 11, 787. Prime factorization of 60599 in exponential form is:
60599 = 71 × 111 × 7871
Prime Factorization of 60603
Prime factors of 60603 are 3, 20201. Prime factorization of 60603 in exponential form is:
60603 = 31 × 202011
Now multiplying the highest exponent prime factors to calculate the LCM of 60599 and 60603.
LCM(60599,60603) = 71 × 111 × 7871 × 31 × 202011
LCM(60599,60603) = 3672481197
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