What is the Least Common Multiple of 40885 and 40894?
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 40885 and 40894 is 1671951190.
LCM(40885,40894) = 1671951190
Least Common Multiple of 40885 and 40894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40885 and 40894, than apply into the LCM equation.
GCF(40885,40894) = 1
LCM(40885,40894) = ( 40885 × 40894) / 1
LCM(40885,40894) = 1671951190 / 1
LCM(40885,40894) = 1671951190
Least Common Multiple (LCM) of 40885 and 40894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40885 and 40894. First we will calculate the prime factors of 40885 and 40894.
Prime Factorization of 40885
Prime factors of 40885 are 5, 13, 17, 37. Prime factorization of 40885 in exponential form is:
40885 = 51 × 131 × 171 × 371
Prime Factorization of 40894
Prime factors of 40894 are 2, 7, 23, 127. Prime factorization of 40894 in exponential form is:
40894 = 21 × 71 × 231 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 40885 and 40894.
LCM(40885,40894) = 51 × 131 × 171 × 371 × 21 × 71 × 231 × 1271
LCM(40885,40894) = 1671951190
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