What is the Least Common Multiple of 70247 and 70266?
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 70247 and 70266 is 4935975702.
LCM(70247,70266) = 4935975702
Least Common Multiple of 70247 and 70266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70247 and 70266, than apply into the LCM equation.
GCF(70247,70266) = 1
LCM(70247,70266) = ( 70247 × 70266) / 1
LCM(70247,70266) = 4935975702 / 1
LCM(70247,70266) = 4935975702
Least Common Multiple (LCM) of 70247 and 70266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70247 and 70266. First we will calculate the prime factors of 70247 and 70266.
Prime Factorization of 70247
Prime factors of 70247 are 199, 353. Prime factorization of 70247 in exponential form is:
70247 = 1991 × 3531
Prime Factorization of 70266
Prime factors of 70266 are 2, 3, 7, 239. Prime factorization of 70266 in exponential form is:
70266 = 21 × 31 × 72 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 70247 and 70266.
LCM(70247,70266) = 1991 × 3531 × 21 × 31 × 72 × 2391
LCM(70247,70266) = 4935975702
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