What is the Least Common Multiple of 32155 and 32167?
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 32155 and 32167 is 1034329885.
LCM(32155,32167) = 1034329885
Least Common Multiple of 32155 and 32167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32155 and 32167, than apply into the LCM equation.
GCF(32155,32167) = 1
LCM(32155,32167) = ( 32155 × 32167) / 1
LCM(32155,32167) = 1034329885 / 1
LCM(32155,32167) = 1034329885
Least Common Multiple (LCM) of 32155 and 32167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32155 and 32167. First we will calculate the prime factors of 32155 and 32167.
Prime Factorization of 32155
Prime factors of 32155 are 5, 59, 109. Prime factorization of 32155 in exponential form is:
32155 = 51 × 591 × 1091
Prime Factorization of 32167
Prime factors of 32167 are 19, 1693. Prime factorization of 32167 in exponential form is:
32167 = 191 × 16931
Now multiplying the highest exponent prime factors to calculate the LCM of 32155 and 32167.
LCM(32155,32167) = 51 × 591 × 1091 × 191 × 16931
LCM(32155,32167) = 1034329885
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