What is the Least Common Multiple of 65478 and 65486?
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 65478 and 65486 is 2143946154.
LCM(65478,65486) = 2143946154
Least Common Multiple of 65478 and 65486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65478 and 65486, than apply into the LCM equation.
GCF(65478,65486) = 2
LCM(65478,65486) = ( 65478 × 65486) / 2
LCM(65478,65486) = 4287892308 / 2
LCM(65478,65486) = 2143946154
Least Common Multiple (LCM) of 65478 and 65486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65478 and 65486. First we will calculate the prime factors of 65478 and 65486.
Prime Factorization of 65478
Prime factors of 65478 are 2, 3, 7, 1559. Prime factorization of 65478 in exponential form is:
65478 = 21 × 31 × 71 × 15591
Prime Factorization of 65486
Prime factors of 65486 are 2, 137, 239. Prime factorization of 65486 in exponential form is:
65486 = 21 × 1371 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 65478 and 65486.
LCM(65478,65486) = 21 × 31 × 71 × 15591 × 1371 × 2391
LCM(65478,65486) = 2143946154
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