What is the Least Common Multiple of 94609 and 94623?
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 94609 and 94623 is 8952187407.
LCM(94609,94623) = 8952187407
Least Common Multiple of 94609 and 94623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94609 and 94623, than apply into the LCM equation.
GCF(94609,94623) = 1
LCM(94609,94623) = ( 94609 × 94623) / 1
LCM(94609,94623) = 8952187407 / 1
LCM(94609,94623) = 8952187407
Least Common Multiple (LCM) of 94609 and 94623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94609 and 94623. First we will calculate the prime factors of 94609 and 94623.
Prime Factorization of 94609
Prime factors of 94609 are 37, 2557. Prime factorization of 94609 in exponential form is:
94609 = 371 × 25571
Prime Factorization of 94623
Prime factors of 94623 are 3, 31541. Prime factorization of 94623 in exponential form is:
94623 = 31 × 315411
Now multiplying the highest exponent prime factors to calculate the LCM of 94609 and 94623.
LCM(94609,94623) = 371 × 25571 × 31 × 315411
LCM(94609,94623) = 8952187407
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