What is the Least Common Multiple of 44178 and 44187?
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 44178 and 44187 is 650697762.
LCM(44178,44187) = 650697762
Least Common Multiple of 44178 and 44187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44178 and 44187, than apply into the LCM equation.
GCF(44178,44187) = 3
LCM(44178,44187) = ( 44178 × 44187) / 3
LCM(44178,44187) = 1952093286 / 3
LCM(44178,44187) = 650697762
Least Common Multiple (LCM) of 44178 and 44187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44178 and 44187. First we will calculate the prime factors of 44178 and 44187.
Prime Factorization of 44178
Prime factors of 44178 are 2, 3, 37, 199. Prime factorization of 44178 in exponential form is:
44178 = 21 × 31 × 371 × 1991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 44178 and 44187.
LCM(44178,44187) = 21 × 31 × 371 × 1991 × 111 × 131 × 1031
LCM(44178,44187) = 650697762
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