What is the Least Common Multiple of 72482 and 72497?
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 72482 and 72497 is 5254727554.
LCM(72482,72497) = 5254727554
Least Common Multiple of 72482 and 72497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72482 and 72497, than apply into the LCM equation.
GCF(72482,72497) = 1
LCM(72482,72497) = ( 72482 × 72497) / 1
LCM(72482,72497) = 5254727554 / 1
LCM(72482,72497) = 5254727554
Least Common Multiple (LCM) of 72482 and 72497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72482 and 72497. First we will calculate the prime factors of 72482 and 72497.
Prime Factorization of 72482
Prime factors of 72482 are 2, 36241. Prime factorization of 72482 in exponential form is:
72482 = 21 × 362411
Prime Factorization of 72497
Prime factors of 72497 are 72497. Prime factorization of 72497 in exponential form is:
72497 = 724971
Now multiplying the highest exponent prime factors to calculate the LCM of 72482 and 72497.
LCM(72482,72497) = 21 × 362411 × 724971
LCM(72482,72497) = 5254727554
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