What is the Least Common Multiple of 65576 and 65580?
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 65576 and 65580 is 1075118520.
LCM(65576,65580) = 1075118520
Least Common Multiple of 65576 and 65580 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65576 and 65580, than apply into the LCM equation.
GCF(65576,65580) = 4
LCM(65576,65580) = ( 65576 × 65580) / 4
LCM(65576,65580) = 4300474080 / 4
LCM(65576,65580) = 1075118520
Least Common Multiple (LCM) of 65576 and 65580 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65576 and 65580. First we will calculate the prime factors of 65576 and 65580.
Prime Factorization of 65576
Prime factors of 65576 are 2, 7, 1171. Prime factorization of 65576 in exponential form is:
65576 = 23 × 71 × 11711
Prime Factorization of 65580
Prime factors of 65580 are 2, 3, 5, 1093. Prime factorization of 65580 in exponential form is:
65580 = 22 × 31 × 51 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 65576 and 65580.
LCM(65576,65580) = 23 × 71 × 11711 × 31 × 51 × 10931
LCM(65576,65580) = 1075118520
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