What is the Least Common Multiple of 56580 and 56598?
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 56580 and 56598 is 533719140.
LCM(56580,56598) = 533719140
Least Common Multiple of 56580 and 56598 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56580 and 56598, than apply into the LCM equation.
GCF(56580,56598) = 6
LCM(56580,56598) = ( 56580 × 56598) / 6
LCM(56580,56598) = 3202314840 / 6
LCM(56580,56598) = 533719140
Least Common Multiple (LCM) of 56580 and 56598 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56598. First we will calculate the prime factors of 56580 and 56598.
Prime Factorization of 56580
Prime factors of 56580 are 2, 3, 5, 23, 41. Prime factorization of 56580 in exponential form is:
56580 = 22 × 31 × 51 × 231 × 411
Prime Factorization of 56598
Prime factors of 56598 are 2, 3, 9433. Prime factorization of 56598 in exponential form is:
56598 = 21 × 31 × 94331
Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56598.
LCM(56580,56598) = 22 × 31 × 51 × 231 × 411 × 94331
LCM(56580,56598) = 533719140
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