What is the Least Common Multiple of 59907 and 59925?
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 59907 and 59925 is 1196642325.
LCM(59907,59925) = 1196642325
Least Common Multiple of 59907 and 59925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59907 and 59925, than apply into the LCM equation.
GCF(59907,59925) = 3
LCM(59907,59925) = ( 59907 × 59925) / 3
LCM(59907,59925) = 3589926975 / 3
LCM(59907,59925) = 1196642325
Least Common Multiple (LCM) of 59907 and 59925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59907 and 59925. First we will calculate the prime factors of 59907 and 59925.
Prime Factorization of 59907
Prime factors of 59907 are 3, 19, 1051. Prime factorization of 59907 in exponential form is:
59907 = 31 × 191 × 10511
Prime Factorization of 59925
Prime factors of 59925 are 3, 5, 17, 47. Prime factorization of 59925 in exponential form is:
59925 = 31 × 52 × 171 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 59907 and 59925.
LCM(59907,59925) = 31 × 191 × 10511 × 52 × 171 × 471
LCM(59907,59925) = 1196642325
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