What is the Least Common Multiple of 32391 and 32408?
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 32391 and 32408 is 1049727528.
LCM(32391,32408) = 1049727528
Least Common Multiple of 32391 and 32408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32391 and 32408, than apply into the LCM equation.
GCF(32391,32408) = 1
LCM(32391,32408) = ( 32391 × 32408) / 1
LCM(32391,32408) = 1049727528 / 1
LCM(32391,32408) = 1049727528
Least Common Multiple (LCM) of 32391 and 32408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32391 and 32408. First we will calculate the prime factors of 32391 and 32408.
Prime Factorization of 32391
Prime factors of 32391 are 3, 59, 61. Prime factorization of 32391 in exponential form is:
32391 = 32 × 591 × 611
Prime Factorization of 32408
Prime factors of 32408 are 2, 4051. Prime factorization of 32408 in exponential form is:
32408 = 23 × 40511
Now multiplying the highest exponent prime factors to calculate the LCM of 32391 and 32408.
LCM(32391,32408) = 32 × 591 × 611 × 23 × 40511
LCM(32391,32408) = 1049727528
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