What is the Least Common Multiple of 44187 and 44195?
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 44187 and 44195 is 1952844465.
LCM(44187,44195) = 1952844465
Least Common Multiple of 44187 and 44195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44187 and 44195, than apply into the LCM equation.
GCF(44187,44195) = 1
LCM(44187,44195) = ( 44187 × 44195) / 1
LCM(44187,44195) = 1952844465 / 1
LCM(44187,44195) = 1952844465
Least Common Multiple (LCM) of 44187 and 44195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44187 and 44195. First we will calculate the prime factors of 44187 and 44195.
Prime Factorization of 44187
Prime factors of 44187 are 3, 11, 13, 103. Prime factorization of 44187 in exponential form is:
44187 = 31 × 111 × 131 × 1031
Prime Factorization of 44195
Prime factors of 44195 are 5, 8839. Prime factorization of 44195 in exponential form is:
44195 = 51 × 88391
Now multiplying the highest exponent prime factors to calculate the LCM of 44187 and 44195.
LCM(44187,44195) = 31 × 111 × 131 × 1031 × 51 × 88391
LCM(44187,44195) = 1952844465
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