What is the Least Common Multiple of 57990 and 58010?
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 57990 and 58010 is 336399990.
LCM(57990,58010) = 336399990
Least Common Multiple of 57990 and 58010 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57990 and 58010, than apply into the LCM equation.
GCF(57990,58010) = 10
LCM(57990,58010) = ( 57990 × 58010) / 10
LCM(57990,58010) = 3363999900 / 10
LCM(57990,58010) = 336399990
Least Common Multiple (LCM) of 57990 and 58010 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57990 and 58010. First we will calculate the prime factors of 57990 and 58010.
Prime Factorization of 57990
Prime factors of 57990 are 2, 3, 5, 1933. Prime factorization of 57990 in exponential form is:
57990 = 21 × 31 × 51 × 19331
Prime Factorization of 58010
Prime factors of 58010 are 2, 5, 5801. Prime factorization of 58010 in exponential form is:
58010 = 21 × 51 × 58011
Now multiplying the highest exponent prime factors to calculate the LCM of 57990 and 58010.
LCM(57990,58010) = 21 × 31 × 51 × 19331 × 58011
LCM(57990,58010) = 336399990
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