What is the Least Common Multiple of 94605 and 94618?
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 94605 and 94618 is 8951335890.
LCM(94605,94618) = 8951335890
Least Common Multiple of 94605 and 94618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94605 and 94618, than apply into the LCM equation.
GCF(94605,94618) = 1
LCM(94605,94618) = ( 94605 × 94618) / 1
LCM(94605,94618) = 8951335890 / 1
LCM(94605,94618) = 8951335890
Least Common Multiple (LCM) of 94605 and 94618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94605 and 94618. First we will calculate the prime factors of 94605 and 94618.
Prime Factorization of 94605
Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:
94605 = 31 × 51 × 71 × 171 × 531
Prime Factorization of 94618
Prime factors of 94618 are 2, 47309. Prime factorization of 94618 in exponential form is:
94618 = 21 × 473091
Now multiplying the highest exponent prime factors to calculate the LCM of 94605 and 94618.
LCM(94605,94618) = 31 × 51 × 71 × 171 × 531 × 21 × 473091
LCM(94605,94618) = 8951335890
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