What is the Least Common Multiple of 60884 and 60903?
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 60884 and 60903 is 3708018252.
LCM(60884,60903) = 3708018252
Least Common Multiple of 60884 and 60903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60884 and 60903, than apply into the LCM equation.
GCF(60884,60903) = 1
LCM(60884,60903) = ( 60884 × 60903) / 1
LCM(60884,60903) = 3708018252 / 1
LCM(60884,60903) = 3708018252
Least Common Multiple (LCM) of 60884 and 60903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60884 and 60903. First we will calculate the prime factors of 60884 and 60903.
Prime Factorization of 60884
Prime factors of 60884 are 2, 31, 491. Prime factorization of 60884 in exponential form is:
60884 = 22 × 311 × 4911
Prime Factorization of 60903
Prime factors of 60903 are 3, 67, 101. Prime factorization of 60903 in exponential form is:
60903 = 32 × 671 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 60884 and 60903.
LCM(60884,60903) = 22 × 311 × 4911 × 32 × 671 × 1011
LCM(60884,60903) = 3708018252
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