What is the Least Common Multiple of 70373 and 70383?
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 70373 and 70383 is 4953062859.
LCM(70373,70383) = 4953062859
Least Common Multiple of 70373 and 70383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70373 and 70383, than apply into the LCM equation.
GCF(70373,70383) = 1
LCM(70373,70383) = ( 70373 × 70383) / 1
LCM(70373,70383) = 4953062859 / 1
LCM(70373,70383) = 4953062859
Least Common Multiple (LCM) of 70373 and 70383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70373 and 70383. First we will calculate the prime factors of 70373 and 70383.
Prime Factorization of 70373
Prime factors of 70373 are 70373. Prime factorization of 70373 in exponential form is:
70373 = 703731
Prime Factorization of 70383
Prime factors of 70383 are 3, 29, 809. Prime factorization of 70383 in exponential form is:
70383 = 31 × 291 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 70373 and 70383.
LCM(70373,70383) = 703731 × 31 × 291 × 8091
LCM(70373,70383) = 4953062859
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