What is the Least Common Multiple of 65486 and 65502?
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 65486 and 65502 is 2144731986.
LCM(65486,65502) = 2144731986
Least Common Multiple of 65486 and 65502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65486 and 65502, than apply into the LCM equation.
GCF(65486,65502) = 2
LCM(65486,65502) = ( 65486 × 65502) / 2
LCM(65486,65502) = 4289463972 / 2
LCM(65486,65502) = 2144731986
Least Common Multiple (LCM) of 65486 and 65502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65486 and 65502. First we will calculate the prime factors of 65486 and 65502.
Prime Factorization of 65486
Prime factors of 65486 are 2, 137, 239. Prime factorization of 65486 in exponential form is:
65486 = 21 × 1371 × 2391
Prime Factorization of 65502
Prime factors of 65502 are 2, 3, 1213. Prime factorization of 65502 in exponential form is:
65502 = 21 × 33 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 65486 and 65502.
LCM(65486,65502) = 21 × 1371 × 2391 × 33 × 12131
LCM(65486,65502) = 2144731986
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