What is the Least Common Multiple of 65652 and 65660?
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 65652 and 65660 is 1077677580.
LCM(65652,65660) = 1077677580
Least Common Multiple of 65652 and 65660 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65652 and 65660, than apply into the LCM equation.
GCF(65652,65660) = 4
LCM(65652,65660) = ( 65652 × 65660) / 4
LCM(65652,65660) = 4310710320 / 4
LCM(65652,65660) = 1077677580
Least Common Multiple (LCM) of 65652 and 65660 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65652 and 65660. First we will calculate the prime factors of 65652 and 65660.
Prime Factorization of 65652
Prime factors of 65652 are 2, 3, 5471. Prime factorization of 65652 in exponential form is:
65652 = 22 × 31 × 54711
Prime Factorization of 65660
Prime factors of 65660 are 2, 5, 7, 67. Prime factorization of 65660 in exponential form is:
65660 = 22 × 51 × 72 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 65652 and 65660.
LCM(65652,65660) = 22 × 31 × 54711 × 51 × 72 × 671
LCM(65652,65660) = 1077677580
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