What is the Least Common Multiple of 74618 and 74626?
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 74618 and 74626 is 2784221434.
LCM(74618,74626) = 2784221434
Least Common Multiple of 74618 and 74626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74618 and 74626, than apply into the LCM equation.
GCF(74618,74626) = 2
LCM(74618,74626) = ( 74618 × 74626) / 2
LCM(74618,74626) = 5568442868 / 2
LCM(74618,74626) = 2784221434
Least Common Multiple (LCM) of 74618 and 74626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74618 and 74626. First we will calculate the prime factors of 74618 and 74626.
Prime Factorization of 74618
Prime factors of 74618 are 2, 37309. Prime factorization of 74618 in exponential form is:
74618 = 21 × 373091
Prime Factorization of 74626
Prime factors of 74626 are 2, 37313. Prime factorization of 74626 in exponential form is:
74626 = 21 × 373131
Now multiplying the highest exponent prime factors to calculate the LCM of 74618 and 74626.
LCM(74618,74626) = 21 × 373091 × 373131
LCM(74618,74626) = 2784221434
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