What is the Least Common Multiple of 65272 and 65282?
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 65272 and 65282 is 2130543352.
LCM(65272,65282) = 2130543352
Least Common Multiple of 65272 and 65282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65272 and 65282, than apply into the LCM equation.
GCF(65272,65282) = 2
LCM(65272,65282) = ( 65272 × 65282) / 2
LCM(65272,65282) = 4261086704 / 2
LCM(65272,65282) = 2130543352
Least Common Multiple (LCM) of 65272 and 65282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65272 and 65282. First we will calculate the prime factors of 65272 and 65282.
Prime Factorization of 65272
Prime factors of 65272 are 2, 41, 199. Prime factorization of 65272 in exponential form is:
65272 = 23 × 411 × 1991
Prime Factorization of 65282
Prime factors of 65282 are 2, 7, 4663. Prime factorization of 65282 in exponential form is:
65282 = 21 × 71 × 46631
Now multiplying the highest exponent prime factors to calculate the LCM of 65272 and 65282.
LCM(65272,65282) = 23 × 411 × 1991 × 71 × 46631
LCM(65272,65282) = 2130543352
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