What is the Least Common Multiple of 44060 and 44080?
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 44060 and 44080 is 97108240.
LCM(44060,44080) = 97108240
Least Common Multiple of 44060 and 44080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44060 and 44080, than apply into the LCM equation.
GCF(44060,44080) = 20
LCM(44060,44080) = ( 44060 × 44080) / 20
LCM(44060,44080) = 1942164800 / 20
LCM(44060,44080) = 97108240
Least Common Multiple (LCM) of 44060 and 44080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44060 and 44080. First we will calculate the prime factors of 44060 and 44080.
Prime Factorization of 44060
Prime factors of 44060 are 2, 5, 2203. Prime factorization of 44060 in exponential form is:
44060 = 22 × 51 × 22031
Prime Factorization of 44080
Prime factors of 44080 are 2, 5, 19, 29. Prime factorization of 44080 in exponential form is:
44080 = 24 × 51 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 44060 and 44080.
LCM(44060,44080) = 24 × 51 × 22031 × 191 × 291
LCM(44060,44080) = 97108240
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