What is the Least Common Multiple of 52599 and 52611?
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 52599 and 52611 is 922428663.
LCM(52599,52611) = 922428663
Least Common Multiple of 52599 and 52611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52599 and 52611, than apply into the LCM equation.
GCF(52599,52611) = 3
LCM(52599,52611) = ( 52599 × 52611) / 3
LCM(52599,52611) = 2767285989 / 3
LCM(52599,52611) = 922428663
Least Common Multiple (LCM) of 52599 and 52611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52599 and 52611. First we will calculate the prime factors of 52599 and 52611.
Prime Factorization of 52599
Prime factors of 52599 are 3, 89, 197. Prime factorization of 52599 in exponential form is:
52599 = 31 × 891 × 1971
Prime Factorization of 52611
Prime factors of 52611 are 3, 13, 19, 71. Prime factorization of 52611 in exponential form is:
52611 = 31 × 131 × 191 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 52599 and 52611.
LCM(52599,52611) = 31 × 891 × 1971 × 131 × 191 × 711
LCM(52599,52611) = 922428663
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