What is the Least Common Multiple of 56645 and 56649?
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 56645 and 56649 is 3208882605.
LCM(56645,56649) = 3208882605
Least Common Multiple of 56645 and 56649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56645 and 56649, than apply into the LCM equation.
GCF(56645,56649) = 1
LCM(56645,56649) = ( 56645 × 56649) / 1
LCM(56645,56649) = 3208882605 / 1
LCM(56645,56649) = 3208882605
Least Common Multiple (LCM) of 56645 and 56649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56645 and 56649. First we will calculate the prime factors of 56645 and 56649.
Prime Factorization of 56645
Prime factors of 56645 are 5, 11329. Prime factorization of 56645 in exponential form is:
56645 = 51 × 113291
Prime Factorization of 56649
Prime factors of 56649 are 3, 23, 821. Prime factorization of 56649 in exponential form is:
56649 = 31 × 231 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 56645 and 56649.
LCM(56645,56649) = 51 × 113291 × 31 × 231 × 8211
LCM(56645,56649) = 3208882605
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