What is the Least Common Multiple of 94041 and 94061?
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 94041 and 94061 is 8845590501.
LCM(94041,94061) = 8845590501
Least Common Multiple of 94041 and 94061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94041 and 94061, than apply into the LCM equation.
GCF(94041,94061) = 1
LCM(94041,94061) = ( 94041 × 94061) / 1
LCM(94041,94061) = 8845590501 / 1
LCM(94041,94061) = 8845590501
Least Common Multiple (LCM) of 94041 and 94061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94041 and 94061. First we will calculate the prime factors of 94041 and 94061.
Prime Factorization of 94041
Prime factors of 94041 are 3, 43. Prime factorization of 94041 in exponential form is:
94041 = 37 × 431
Prime Factorization of 94061
Prime factors of 94061 are 11, 17, 503. Prime factorization of 94061 in exponential form is:
94061 = 111 × 171 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 94041 and 94061.
LCM(94041,94061) = 37 × 431 × 111 × 171 × 5031
LCM(94041,94061) = 8845590501
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