What is the Least Common Multiple of 74721 and 74733?
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 74721 and 74733 is 1861374831.
LCM(74721,74733) = 1861374831
Least Common Multiple of 74721 and 74733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74721 and 74733, than apply into the LCM equation.
GCF(74721,74733) = 3
LCM(74721,74733) = ( 74721 × 74733) / 3
LCM(74721,74733) = 5584124493 / 3
LCM(74721,74733) = 1861374831
Least Common Multiple (LCM) of 74721 and 74733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74721 and 74733. First we will calculate the prime factors of 74721 and 74733.
Prime Factorization of 74721
Prime factors of 74721 are 3, 24907. Prime factorization of 74721 in exponential form is:
74721 = 31 × 249071
Prime Factorization of 74733
Prime factors of 74733 are 3, 29, 859. Prime factorization of 74733 in exponential form is:
74733 = 31 × 291 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 74721 and 74733.
LCM(74721,74733) = 31 × 249071 × 291 × 8591
LCM(74721,74733) = 1861374831
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