What is the Least Common Multiple of 32153 and 32163?
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 32153 and 32163 is 1034136939.
LCM(32153,32163) = 1034136939
Least Common Multiple of 32153 and 32163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32153 and 32163, than apply into the LCM equation.
GCF(32153,32163) = 1
LCM(32153,32163) = ( 32153 × 32163) / 1
LCM(32153,32163) = 1034136939 / 1
LCM(32153,32163) = 1034136939
Least Common Multiple (LCM) of 32153 and 32163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32153 and 32163. First we will calculate the prime factors of 32153 and 32163.
Prime Factorization of 32153
Prime factors of 32153 are 11, 37, 79. Prime factorization of 32153 in exponential form is:
32153 = 111 × 371 × 791
Prime Factorization of 32163
Prime factors of 32163 are 3, 71, 151. Prime factorization of 32163 in exponential form is:
32163 = 31 × 711 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 32153 and 32163.
LCM(32153,32163) = 111 × 371 × 791 × 31 × 711 × 1511
LCM(32153,32163) = 1034136939
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