What is the Least Common Multiple of 94614 and 94619?
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 94614 and 94619 is 8952282066.
LCM(94614,94619) = 8952282066
Least Common Multiple of 94614 and 94619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94614 and 94619, than apply into the LCM equation.
GCF(94614,94619) = 1
LCM(94614,94619) = ( 94614 × 94619) / 1
LCM(94614,94619) = 8952282066 / 1
LCM(94614,94619) = 8952282066
Least Common Multiple (LCM) of 94614 and 94619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94614 and 94619. First we will calculate the prime factors of 94614 and 94619.
Prime Factorization of 94614
Prime factors of 94614 are 2, 3, 13, 1213. Prime factorization of 94614 in exponential form is:
94614 = 21 × 31 × 131 × 12131
Prime Factorization of 94619
Prime factors of 94619 are 7, 1931. Prime factorization of 94619 in exponential form is:
94619 = 72 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 94614 and 94619.
LCM(94614,94619) = 21 × 31 × 131 × 12131 × 72 × 19311
LCM(94614,94619) = 8952282066
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