What is the Least Common Multiple of 62156 and 62175?
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 62156 and 62175 is 3864549300.
LCM(62156,62175) = 3864549300
Least Common Multiple of 62156 and 62175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62156 and 62175, than apply into the LCM equation.
GCF(62156,62175) = 1
LCM(62156,62175) = ( 62156 × 62175) / 1
LCM(62156,62175) = 3864549300 / 1
LCM(62156,62175) = 3864549300
Least Common Multiple (LCM) of 62156 and 62175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62156 and 62175. First we will calculate the prime factors of 62156 and 62175.
Prime Factorization of 62156
Prime factors of 62156 are 2, 41, 379. Prime factorization of 62156 in exponential form is:
62156 = 22 × 411 × 3791
Prime Factorization of 62175
Prime factors of 62175 are 3, 5, 829. Prime factorization of 62175 in exponential form is:
62175 = 31 × 52 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 62156 and 62175.
LCM(62156,62175) = 22 × 411 × 3791 × 31 × 52 × 8291
LCM(62156,62175) = 3864549300
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