What is the Least Common Multiple of 36850 and 36854?
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 36850 and 36854 is 679034950.
LCM(36850,36854) = 679034950
Least Common Multiple of 36850 and 36854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36850 and 36854, than apply into the LCM equation.
GCF(36850,36854) = 2
LCM(36850,36854) = ( 36850 × 36854) / 2
LCM(36850,36854) = 1358069900 / 2
LCM(36850,36854) = 679034950
Least Common Multiple (LCM) of 36850 and 36854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36850 and 36854. First we will calculate the prime factors of 36850 and 36854.
Prime Factorization of 36850
Prime factors of 36850 are 2, 5, 11, 67. Prime factorization of 36850 in exponential form is:
36850 = 21 × 52 × 111 × 671
Prime Factorization of 36854
Prime factors of 36854 are 2, 18427. Prime factorization of 36854 in exponential form is:
36854 = 21 × 184271
Now multiplying the highest exponent prime factors to calculate the LCM of 36850 and 36854.
LCM(36850,36854) = 21 × 52 × 111 × 671 × 184271
LCM(36850,36854) = 679034950
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