What is the Least Common Multiple of 94069 and 94078?
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 94069 and 94078 is 8849823382.
LCM(94069,94078) = 8849823382
Least Common Multiple of 94069 and 94078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94069 and 94078, than apply into the LCM equation.
GCF(94069,94078) = 1
LCM(94069,94078) = ( 94069 × 94078) / 1
LCM(94069,94078) = 8849823382 / 1
LCM(94069,94078) = 8849823382
Least Common Multiple (LCM) of 94069 and 94078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94069 and 94078. First we will calculate the prime factors of 94069 and 94078.
Prime Factorization of 94069
Prime factors of 94069 are 19, 4951. Prime factorization of 94069 in exponential form is:
94069 = 191 × 49511
Prime Factorization of 94078
Prime factors of 94078 are 2, 17, 2767. Prime factorization of 94078 in exponential form is:
94078 = 21 × 171 × 27671
Now multiplying the highest exponent prime factors to calculate the LCM of 94069 and 94078.
LCM(94069,94078) = 191 × 49511 × 21 × 171 × 27671
LCM(94069,94078) = 8849823382
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