What is the Least Common Multiple of 94602 and 94622?
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 94602 and 94622 is 4475715222.
LCM(94602,94622) = 4475715222
Least Common Multiple of 94602 and 94622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94602 and 94622, than apply into the LCM equation.
GCF(94602,94622) = 2
LCM(94602,94622) = ( 94602 × 94622) / 2
LCM(94602,94622) = 8951430444 / 2
LCM(94602,94622) = 4475715222
Least Common Multiple (LCM) of 94602 and 94622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94602 and 94622. First we will calculate the prime factors of 94602 and 94622.
Prime Factorization of 94602
Prime factors of 94602 are 2, 3, 15767. Prime factorization of 94602 in exponential form is:
94602 = 21 × 31 × 157671
Prime Factorization of 94622
Prime factors of 94622 are 2, 11, 17, 23. Prime factorization of 94622 in exponential form is:
94622 = 21 × 112 × 171 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 94602 and 94622.
LCM(94602,94622) = 21 × 31 × 157671 × 112 × 171 × 231
LCM(94602,94622) = 4475715222
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