What is the Least Common Multiple of 32625 and 32637?
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 32625 and 32637 is 354927375.
LCM(32625,32637) = 354927375
Least Common Multiple of 32625 and 32637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32625 and 32637, than apply into the LCM equation.
GCF(32625,32637) = 3
LCM(32625,32637) = ( 32625 × 32637) / 3
LCM(32625,32637) = 1064782125 / 3
LCM(32625,32637) = 354927375
Least Common Multiple (LCM) of 32625 and 32637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32625 and 32637. First we will calculate the prime factors of 32625 and 32637.
Prime Factorization of 32625
Prime factors of 32625 are 3, 5, 29. Prime factorization of 32625 in exponential form is:
32625 = 32 × 53 × 291
Prime Factorization of 32637
Prime factors of 32637 are 3, 11, 23, 43. Prime factorization of 32637 in exponential form is:
32637 = 31 × 111 × 231 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 32625 and 32637.
LCM(32625,32637) = 32 × 53 × 291 × 111 × 231 × 431
LCM(32625,32637) = 354927375
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