What is the Least Common Multiple of 94709 and 94718?
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 94709 and 94718 is 8970647062.
LCM(94709,94718) = 8970647062
Least Common Multiple of 94709 and 94718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94709 and 94718, than apply into the LCM equation.
GCF(94709,94718) = 1
LCM(94709,94718) = ( 94709 × 94718) / 1
LCM(94709,94718) = 8970647062 / 1
LCM(94709,94718) = 8970647062
Least Common Multiple (LCM) of 94709 and 94718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94709 and 94718. First we will calculate the prime factors of 94709 and 94718.
Prime Factorization of 94709
Prime factors of 94709 are 94709. Prime factorization of 94709 in exponential form is:
94709 = 947091
Prime Factorization of 94718
Prime factors of 94718 are 2, 13, 3643. Prime factorization of 94718 in exponential form is:
94718 = 21 × 131 × 36431
Now multiplying the highest exponent prime factors to calculate the LCM of 94709 and 94718.
LCM(94709,94718) = 947091 × 21 × 131 × 36431
LCM(94709,94718) = 8970647062
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