What is the Least Common Multiple of 70387 and 70391?
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 70387 and 70391 is 4954611317.
LCM(70387,70391) = 4954611317
Least Common Multiple of 70387 and 70391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70387 and 70391, than apply into the LCM equation.
GCF(70387,70391) = 1
LCM(70387,70391) = ( 70387 × 70391) / 1
LCM(70387,70391) = 4954611317 / 1
LCM(70387,70391) = 4954611317
Least Common Multiple (LCM) of 70387 and 70391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70387 and 70391. First we will calculate the prime factors of 70387 and 70391.
Prime Factorization of 70387
Prime factors of 70387 are 59, 1193. Prime factorization of 70387 in exponential form is:
70387 = 591 × 11931
Prime Factorization of 70391
Prime factors of 70391 are 43, 1637. Prime factorization of 70391 in exponential form is:
70391 = 431 × 16371
Now multiplying the highest exponent prime factors to calculate the LCM of 70387 and 70391.
LCM(70387,70391) = 591 × 11931 × 431 × 16371
LCM(70387,70391) = 4954611317
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