What is the Least Common Multiple of 12070 and 12090?
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 12070 and 12090 is 14592630.
LCM(12070,12090) = 14592630
Least Common Multiple of 12070 and 12090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12070 and 12090, than apply into the LCM equation.
GCF(12070,12090) = 10
LCM(12070,12090) = ( 12070 × 12090) / 10
LCM(12070,12090) = 145926300 / 10
LCM(12070,12090) = 14592630
Least Common Multiple (LCM) of 12070 and 12090 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12070 and 12090. First we will calculate the prime factors of 12070 and 12090.
Prime Factorization of 12070
Prime factors of 12070 are 2, 5, 17, 71. Prime factorization of 12070 in exponential form is:
12070 = 21 × 51 × 171 × 711
Prime Factorization of 12090
Prime factors of 12090 are 2, 3, 5, 13, 31. Prime factorization of 12090 in exponential form is:
12090 = 21 × 31 × 51 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 12070 and 12090.
LCM(12070,12090) = 21 × 51 × 171 × 711 × 31 × 131 × 311
LCM(12070,12090) = 14592630
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