What is the Least Common Multiple of 32226 and 32232?
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 32226 and 32232 is 173118072.
LCM(32226,32232) = 173118072
Least Common Multiple of 32226 and 32232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32226 and 32232, than apply into the LCM equation.
GCF(32226,32232) = 6
LCM(32226,32232) = ( 32226 × 32232) / 6
LCM(32226,32232) = 1038708432 / 6
LCM(32226,32232) = 173118072
Least Common Multiple (LCM) of 32226 and 32232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32226 and 32232. First we will calculate the prime factors of 32226 and 32232.
Prime Factorization of 32226
Prime factors of 32226 are 2, 3, 41, 131. Prime factorization of 32226 in exponential form is:
32226 = 21 × 31 × 411 × 1311
Prime Factorization of 32232
Prime factors of 32232 are 2, 3, 17, 79. Prime factorization of 32232 in exponential form is:
32232 = 23 × 31 × 171 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 32226 and 32232.
LCM(32226,32232) = 23 × 31 × 411 × 1311 × 171 × 791
LCM(32226,32232) = 173118072
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