What is the Least Common Multiple of 49454 and 49465?
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 49454 and 49465 is 2446242110.
LCM(49454,49465) = 2446242110
Least Common Multiple of 49454 and 49465 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49454 and 49465, than apply into the LCM equation.
GCF(49454,49465) = 1
LCM(49454,49465) = ( 49454 × 49465) / 1
LCM(49454,49465) = 2446242110 / 1
LCM(49454,49465) = 2446242110
Least Common Multiple (LCM) of 49454 and 49465 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49454 and 49465. First we will calculate the prime factors of 49454 and 49465.
Prime Factorization of 49454
Prime factors of 49454 are 2, 79, 313. Prime factorization of 49454 in exponential form is:
49454 = 21 × 791 × 3131
Prime Factorization of 49465
Prime factors of 49465 are 5, 13, 761. Prime factorization of 49465 in exponential form is:
49465 = 51 × 131 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 49454 and 49465.
LCM(49454,49465) = 21 × 791 × 3131 × 51 × 131 × 7611
LCM(49454,49465) = 2446242110
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