What is the Least Common Multiple of 74418 and 74437?
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 74418 and 74437 is 5539452666.
LCM(74418,74437) = 5539452666
Least Common Multiple of 74418 and 74437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74418 and 74437, than apply into the LCM equation.
GCF(74418,74437) = 1
LCM(74418,74437) = ( 74418 × 74437) / 1
LCM(74418,74437) = 5539452666 / 1
LCM(74418,74437) = 5539452666
Least Common Multiple (LCM) of 74418 and 74437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74418 and 74437. First we will calculate the prime factors of 74418 and 74437.
Prime Factorization of 74418
Prime factors of 74418 are 2, 3, 79, 157. Prime factorization of 74418 in exponential form is:
74418 = 21 × 31 × 791 × 1571
Prime Factorization of 74437
Prime factors of 74437 are 11, 67, 101. Prime factorization of 74437 in exponential form is:
74437 = 111 × 671 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 74418 and 74437.
LCM(74418,74437) = 21 × 31 × 791 × 1571 × 111 × 671 × 1011
LCM(74418,74437) = 5539452666
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