What is the Least Common Multiple of 80618 and 80622?
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 80618 and 80622 is 3249792198.
LCM(80618,80622) = 3249792198
Least Common Multiple of 80618 and 80622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80618 and 80622, than apply into the LCM equation.
GCF(80618,80622) = 2
LCM(80618,80622) = ( 80618 × 80622) / 2
LCM(80618,80622) = 6499584396 / 2
LCM(80618,80622) = 3249792198
Least Common Multiple (LCM) of 80618 and 80622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80618 and 80622. First we will calculate the prime factors of 80618 and 80622.
Prime Factorization of 80618
Prime factors of 80618 are 2, 173, 233. Prime factorization of 80618 in exponential form is:
80618 = 21 × 1731 × 2331
Prime Factorization of 80622
Prime factors of 80622 are 2, 3, 1493. Prime factorization of 80622 in exponential form is:
80622 = 21 × 33 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 80618 and 80622.
LCM(80618,80622) = 21 × 1731 × 2331 × 33 × 14931
LCM(80618,80622) = 3249792198
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