What is the Least Common Multiple of 94636 and 94647?
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 94636 and 94647 is 8957013492.
LCM(94636,94647) = 8957013492
Least Common Multiple of 94636 and 94647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94636 and 94647, than apply into the LCM equation.
GCF(94636,94647) = 1
LCM(94636,94647) = ( 94636 × 94647) / 1
LCM(94636,94647) = 8957013492 / 1
LCM(94636,94647) = 8957013492
Least Common Multiple (LCM) of 94636 and 94647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94636 and 94647. First we will calculate the prime factors of 94636 and 94647.
Prime Factorization of 94636
Prime factors of 94636 are 2, 59, 401. Prime factorization of 94636 in exponential form is:
94636 = 22 × 591 × 4011
Prime Factorization of 94647
Prime factors of 94647 are 3, 7, 4507. Prime factorization of 94647 in exponential form is:
94647 = 31 × 71 × 45071
Now multiplying the highest exponent prime factors to calculate the LCM of 94636 and 94647.
LCM(94636,94647) = 22 × 591 × 4011 × 31 × 71 × 45071
LCM(94636,94647) = 8957013492
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