What is the Least Common Multiple of 56015 and 56022?
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 56015 and 56022 is 3138072330.
LCM(56015,56022) = 3138072330
Least Common Multiple of 56015 and 56022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56015 and 56022, than apply into the LCM equation.
GCF(56015,56022) = 1
LCM(56015,56022) = ( 56015 × 56022) / 1
LCM(56015,56022) = 3138072330 / 1
LCM(56015,56022) = 3138072330
Least Common Multiple (LCM) of 56015 and 56022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56015 and 56022. First we will calculate the prime factors of 56015 and 56022.
Prime Factorization of 56015
Prime factors of 56015 are 5, 17, 659. Prime factorization of 56015 in exponential form is:
56015 = 51 × 171 × 6591
Prime Factorization of 56022
Prime factors of 56022 are 2, 3, 9337. Prime factorization of 56022 in exponential form is:
56022 = 21 × 31 × 93371
Now multiplying the highest exponent prime factors to calculate the LCM of 56015 and 56022.
LCM(56015,56022) = 51 × 171 × 6591 × 21 × 31 × 93371
LCM(56015,56022) = 3138072330
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