What is the Least Common Multiple of 32302 and 32306?
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 32302 and 32306 is 521774206.
LCM(32302,32306) = 521774206
Least Common Multiple of 32302 and 32306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32302 and 32306, than apply into the LCM equation.
GCF(32302,32306) = 2
LCM(32302,32306) = ( 32302 × 32306) / 2
LCM(32302,32306) = 1043548412 / 2
LCM(32302,32306) = 521774206
Least Common Multiple (LCM) of 32302 and 32306 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32302 and 32306. First we will calculate the prime factors of 32302 and 32306.
Prime Factorization of 32302
Prime factors of 32302 are 2, 31, 521. Prime factorization of 32302 in exponential form is:
32302 = 21 × 311 × 5211
Prime Factorization of 32306
Prime factors of 32306 are 2, 29, 557. Prime factorization of 32306 in exponential form is:
32306 = 21 × 291 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 32302 and 32306.
LCM(32302,32306) = 21 × 311 × 5211 × 291 × 5571
LCM(32302,32306) = 521774206
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