What is the Least Common Multiple of 94622 and 94636?
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 94622 and 94636 is 4477323796.
LCM(94622,94636) = 4477323796
Least Common Multiple of 94622 and 94636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94622 and 94636, than apply into the LCM equation.
GCF(94622,94636) = 2
LCM(94622,94636) = ( 94622 × 94636) / 2
LCM(94622,94636) = 8954647592 / 2
LCM(94622,94636) = 4477323796
Least Common Multiple (LCM) of 94622 and 94636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94622 and 94636. First we will calculate the prime factors of 94622 and 94636.
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
Prime Factorization of 94636
Prime factors of 94636 are 2, 59, 401. Prime factorization of 94636 in exponential form is:
94636 = 22 × 591 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 94622 and 94636.
LCM(94622,94636) = 22 × 112 × 171 × 231 × 591 × 4011
LCM(94622,94636) = 4477323796
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