What is the Least Common Multiple of 59873 and 59881?
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 59873 and 59881 is 3585255113.
LCM(59873,59881) = 3585255113
Least Common Multiple of 59873 and 59881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59873 and 59881, than apply into the LCM equation.
GCF(59873,59881) = 1
LCM(59873,59881) = ( 59873 × 59881) / 1
LCM(59873,59881) = 3585255113 / 1
LCM(59873,59881) = 3585255113
Least Common Multiple (LCM) of 59873 and 59881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59873 and 59881. First we will calculate the prime factors of 59873 and 59881.
Prime Factorization of 59873
Prime factors of 59873 are 11, 5443. Prime factorization of 59873 in exponential form is:
59873 = 111 × 54431
Prime Factorization of 59881
Prime factors of 59881 are 233, 257. Prime factorization of 59881 in exponential form is:
59881 = 2331 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 59873 and 59881.
LCM(59873,59881) = 111 × 54431 × 2331 × 2571
LCM(59873,59881) = 3585255113
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