What is the Least Common Multiple of 83234 and 83253?
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 83234 and 83253 is 6929480202.
LCM(83234,83253) = 6929480202
Least Common Multiple of 83234 and 83253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83234 and 83253, than apply into the LCM equation.
GCF(83234,83253) = 1
LCM(83234,83253) = ( 83234 × 83253) / 1
LCM(83234,83253) = 6929480202 / 1
LCM(83234,83253) = 6929480202
Least Common Multiple (LCM) of 83234 and 83253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83234 and 83253. First we will calculate the prime factors of 83234 and 83253.
Prime Factorization of 83234
Prime factors of 83234 are 2, 41617. Prime factorization of 83234 in exponential form is:
83234 = 21 × 416171
Prime Factorization of 83253
Prime factors of 83253 are 3, 27751. Prime factorization of 83253 in exponential form is:
83253 = 31 × 277511
Now multiplying the highest exponent prime factors to calculate the LCM of 83234 and 83253.
LCM(83234,83253) = 21 × 416171 × 31 × 277511
LCM(83234,83253) = 6929480202
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