What is the Least Common Multiple of 73070 and 73087?
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 73070 and 73087 is 5340467090.
LCM(73070,73087) = 5340467090
Least Common Multiple of 73070 and 73087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73070 and 73087, than apply into the LCM equation.
GCF(73070,73087) = 1
LCM(73070,73087) = ( 73070 × 73087) / 1
LCM(73070,73087) = 5340467090 / 1
LCM(73070,73087) = 5340467090
Least Common Multiple (LCM) of 73070 and 73087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73070 and 73087. First we will calculate the prime factors of 73070 and 73087.
Prime Factorization of 73070
Prime factors of 73070 are 2, 5, 7307. Prime factorization of 73070 in exponential form is:
73070 = 21 × 51 × 73071
Prime Factorization of 73087
Prime factors of 73087 are 7, 53, 197. Prime factorization of 73087 in exponential form is:
73087 = 71 × 531 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 73070 and 73087.
LCM(73070,73087) = 21 × 51 × 73071 × 71 × 531 × 1971
LCM(73070,73087) = 5340467090
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