What is the Least Common Multiple of 70426 and 70439?
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 70426 and 70439 is 4960737014.
LCM(70426,70439) = 4960737014
Least Common Multiple of 70426 and 70439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70426 and 70439, than apply into the LCM equation.
GCF(70426,70439) = 1
LCM(70426,70439) = ( 70426 × 70439) / 1
LCM(70426,70439) = 4960737014 / 1
LCM(70426,70439) = 4960737014
Least Common Multiple (LCM) of 70426 and 70439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70426 and 70439. First we will calculate the prime factors of 70426 and 70439.
Prime Factorization of 70426
Prime factors of 70426 are 2, 23, 1531. Prime factorization of 70426 in exponential form is:
70426 = 21 × 231 × 15311
Prime Factorization of 70439
Prime factors of 70439 are 70439. Prime factorization of 70439 in exponential form is:
70439 = 704391
Now multiplying the highest exponent prime factors to calculate the LCM of 70426 and 70439.
LCM(70426,70439) = 21 × 231 × 15311 × 704391
LCM(70426,70439) = 4960737014
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