What is the Least Common Multiple of 56137 and 56157?
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 56137 and 56157 is 3152485509.
LCM(56137,56157) = 3152485509
Least Common Multiple of 56137 and 56157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56137 and 56157, than apply into the LCM equation.
GCF(56137,56157) = 1
LCM(56137,56157) = ( 56137 × 56157) / 1
LCM(56137,56157) = 3152485509 / 1
LCM(56137,56157) = 3152485509
Least Common Multiple (LCM) of 56137 and 56157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56137 and 56157. First we will calculate the prime factors of 56137 and 56157.
Prime Factorization of 56137
Prime factors of 56137 are 73, 769. Prime factorization of 56137 in exponential form is:
56137 = 731 × 7691
Prime Factorization of 56157
Prime factors of 56157 are 3, 18719. Prime factorization of 56157 in exponential form is:
56157 = 31 × 187191
Now multiplying the highest exponent prime factors to calculate the LCM of 56137 and 56157.
LCM(56137,56157) = 731 × 7691 × 31 × 187191
LCM(56137,56157) = 3152485509
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