What is the Least Common Multiple of 65490 and 65497?
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 65490 and 65497 is 4289398530.
LCM(65490,65497) = 4289398530
Least Common Multiple of 65490 and 65497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65490 and 65497, than apply into the LCM equation.
GCF(65490,65497) = 1
LCM(65490,65497) = ( 65490 × 65497) / 1
LCM(65490,65497) = 4289398530 / 1
LCM(65490,65497) = 4289398530
Least Common Multiple (LCM) of 65490 and 65497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65490 and 65497. First we will calculate the prime factors of 65490 and 65497.
Prime Factorization of 65490
Prime factors of 65490 are 2, 3, 5, 37, 59. Prime factorization of 65490 in exponential form is:
65490 = 21 × 31 × 51 × 371 × 591
Prime Factorization of 65497
Prime factors of 65497 are 65497. Prime factorization of 65497 in exponential form is:
65497 = 654971
Now multiplying the highest exponent prime factors to calculate the LCM of 65490 and 65497.
LCM(65490,65497) = 21 × 31 × 51 × 371 × 591 × 654971
LCM(65490,65497) = 4289398530
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