What is the Least Common Multiple of 58153 and 58170?
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 58153 and 58170 is 3382760010.
LCM(58153,58170) = 3382760010
Least Common Multiple of 58153 and 58170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58153 and 58170, than apply into the LCM equation.
GCF(58153,58170) = 1
LCM(58153,58170) = ( 58153 × 58170) / 1
LCM(58153,58170) = 3382760010 / 1
LCM(58153,58170) = 3382760010
Least Common Multiple (LCM) of 58153 and 58170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58153 and 58170. First we will calculate the prime factors of 58153 and 58170.
Prime Factorization of 58153
Prime factors of 58153 are 58153. Prime factorization of 58153 in exponential form is:
58153 = 581531
Prime Factorization of 58170
Prime factors of 58170 are 2, 3, 5, 7, 277. Prime factorization of 58170 in exponential form is:
58170 = 21 × 31 × 51 × 71 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 58153 and 58170.
LCM(58153,58170) = 581531 × 21 × 31 × 51 × 71 × 2771
LCM(58153,58170) = 3382760010
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