What is the Least Common Multiple of 32137 and 32157?
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 32137 and 32157 is 1033429509.
LCM(32137,32157) = 1033429509
Least Common Multiple of 32137 and 32157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32137 and 32157, than apply into the LCM equation.
GCF(32137,32157) = 1
LCM(32137,32157) = ( 32137 × 32157) / 1
LCM(32137,32157) = 1033429509 / 1
LCM(32137,32157) = 1033429509
Least Common Multiple (LCM) of 32137 and 32157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32137 and 32157. First we will calculate the prime factors of 32137 and 32157.
Prime Factorization of 32137
Prime factors of 32137 are 7, 4591. Prime factorization of 32137 in exponential form is:
32137 = 71 × 45911
Prime Factorization of 32157
Prime factors of 32157 are 3, 397. Prime factorization of 32157 in exponential form is:
32157 = 34 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 32137 and 32157.
LCM(32137,32157) = 71 × 45911 × 34 × 3971
LCM(32137,32157) = 1033429509
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