What is the Least Common Multiple of 32486 and 32495?
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 32486 and 32495 is 1055632570.
LCM(32486,32495) = 1055632570
Least Common Multiple of 32486 and 32495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32486 and 32495, than apply into the LCM equation.
GCF(32486,32495) = 1
LCM(32486,32495) = ( 32486 × 32495) / 1
LCM(32486,32495) = 1055632570 / 1
LCM(32486,32495) = 1055632570
Least Common Multiple (LCM) of 32486 and 32495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32486 and 32495. First we will calculate the prime factors of 32486 and 32495.
Prime Factorization of 32486
Prime factors of 32486 are 2, 37, 439. Prime factorization of 32486 in exponential form is:
32486 = 21 × 371 × 4391
Prime Factorization of 32495
Prime factors of 32495 are 5, 67, 97. Prime factorization of 32495 in exponential form is:
32495 = 51 × 671 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 32486 and 32495.
LCM(32486,32495) = 21 × 371 × 4391 × 51 × 671 × 971
LCM(32486,32495) = 1055632570
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