What is the Least Common Multiple of 34211 and 34230?
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 34211 and 34230 is 1171042530.
LCM(34211,34230) = 1171042530
Least Common Multiple of 34211 and 34230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34211 and 34230, than apply into the LCM equation.
GCF(34211,34230) = 1
LCM(34211,34230) = ( 34211 × 34230) / 1
LCM(34211,34230) = 1171042530 / 1
LCM(34211,34230) = 1171042530
Least Common Multiple (LCM) of 34211 and 34230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34211 and 34230. First we will calculate the prime factors of 34211 and 34230.
Prime Factorization of 34211
Prime factors of 34211 are 34211. Prime factorization of 34211 in exponential form is:
34211 = 342111
Prime Factorization of 34230
Prime factors of 34230 are 2, 3, 5, 7, 163. Prime factorization of 34230 in exponential form is:
34230 = 21 × 31 × 51 × 71 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 34211 and 34230.
LCM(34211,34230) = 342111 × 21 × 31 × 51 × 71 × 1631
LCM(34211,34230) = 1171042530
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