What is the Least Common Multiple of 44070 and 44090?
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 44070 and 44090 is 194304630.
LCM(44070,44090) = 194304630
Least Common Multiple of 44070 and 44090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44070 and 44090, than apply into the LCM equation.
GCF(44070,44090) = 10
LCM(44070,44090) = ( 44070 × 44090) / 10
LCM(44070,44090) = 1943046300 / 10
LCM(44070,44090) = 194304630
Least Common Multiple (LCM) of 44070 and 44090 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44070 and 44090. First we will calculate the prime factors of 44070 and 44090.
Prime Factorization of 44070
Prime factors of 44070 are 2, 3, 5, 13, 113. Prime factorization of 44070 in exponential form is:
44070 = 21 × 31 × 51 × 131 × 1131
Prime Factorization of 44090
Prime factors of 44090 are 2, 5, 4409. Prime factorization of 44090 in exponential form is:
44090 = 21 × 51 × 44091
Now multiplying the highest exponent prime factors to calculate the LCM of 44070 and 44090.
LCM(44070,44090) = 21 × 31 × 51 × 131 × 1131 × 44091
LCM(44070,44090) = 194304630
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