What is the Least Common Multiple of 32179 and 32195?
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 32179 and 32195 is 1036002905.
LCM(32179,32195) = 1036002905
Least Common Multiple of 32179 and 32195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32179 and 32195, than apply into the LCM equation.
GCF(32179,32195) = 1
LCM(32179,32195) = ( 32179 × 32195) / 1
LCM(32179,32195) = 1036002905 / 1
LCM(32179,32195) = 1036002905
Least Common Multiple (LCM) of 32179 and 32195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32179 and 32195. First we will calculate the prime factors of 32179 and 32195.
Prime Factorization of 32179
Prime factors of 32179 are 7, 4597. Prime factorization of 32179 in exponential form is:
32179 = 71 × 45971
Prime Factorization of 32195
Prime factors of 32195 are 5, 47, 137. Prime factorization of 32195 in exponential form is:
32195 = 51 × 471 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 32179 and 32195.
LCM(32179,32195) = 71 × 45971 × 51 × 471 × 1371
LCM(32179,32195) = 1036002905
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