What is the Least Common Multiple of 73418 and 73427?
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 73418 and 73427 is 5390863486.
LCM(73418,73427) = 5390863486
Least Common Multiple of 73418 and 73427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73418 and 73427, than apply into the LCM equation.
GCF(73418,73427) = 1
LCM(73418,73427) = ( 73418 × 73427) / 1
LCM(73418,73427) = 5390863486 / 1
LCM(73418,73427) = 5390863486
Least Common Multiple (LCM) of 73418 and 73427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73418 and 73427. First we will calculate the prime factors of 73418 and 73427.
Prime Factorization of 73418
Prime factors of 73418 are 2, 36709. Prime factorization of 73418 in exponential form is:
73418 = 21 × 367091
Prime Factorization of 73427
Prime factors of 73427 are 101, 727. Prime factorization of 73427 in exponential form is:
73427 = 1011 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 73418 and 73427.
LCM(73418,73427) = 21 × 367091 × 1011 × 7271
LCM(73418,73427) = 5390863486
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