What is the Least Common Multiple of 36484 and 36502?
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 36484 and 36502 is 665869484.
LCM(36484,36502) = 665869484
Least Common Multiple of 36484 and 36502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36484 and 36502, than apply into the LCM equation.
GCF(36484,36502) = 2
LCM(36484,36502) = ( 36484 × 36502) / 2
LCM(36484,36502) = 1331738968 / 2
LCM(36484,36502) = 665869484
Least Common Multiple (LCM) of 36484 and 36502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36484 and 36502. First we will calculate the prime factors of 36484 and 36502.
Prime Factorization of 36484
Prime factors of 36484 are 2, 7, 1303. Prime factorization of 36484 in exponential form is:
36484 = 22 × 71 × 13031
Prime Factorization of 36502
Prime factors of 36502 are 2, 18251. Prime factorization of 36502 in exponential form is:
36502 = 21 × 182511
Now multiplying the highest exponent prime factors to calculate the LCM of 36484 and 36502.
LCM(36484,36502) = 22 × 71 × 13031 × 182511
LCM(36484,36502) = 665869484
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