What is the Least Common Multiple of 53432 and 53451?
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 53432 and 53451 is 2855993832.
LCM(53432,53451) = 2855993832
Least Common Multiple of 53432 and 53451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53432 and 53451, than apply into the LCM equation.
GCF(53432,53451) = 1
LCM(53432,53451) = ( 53432 × 53451) / 1
LCM(53432,53451) = 2855993832 / 1
LCM(53432,53451) = 2855993832
Least Common Multiple (LCM) of 53432 and 53451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53432 and 53451. First we will calculate the prime factors of 53432 and 53451.
Prime Factorization of 53432
Prime factors of 53432 are 2, 6679. Prime factorization of 53432 in exponential form is:
53432 = 23 × 66791
Prime Factorization of 53451
Prime factors of 53451 are 3, 5939. Prime factorization of 53451 in exponential form is:
53451 = 32 × 59391
Now multiplying the highest exponent prime factors to calculate the LCM of 53432 and 53451.
LCM(53432,53451) = 23 × 66791 × 32 × 59391
LCM(53432,53451) = 2855993832
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