What is the Least Common Multiple of 74237 and 74249?
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 74237 and 74249 is 5512023013.
LCM(74237,74249) = 5512023013
Least Common Multiple of 74237 and 74249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74237 and 74249, than apply into the LCM equation.
GCF(74237,74249) = 1
LCM(74237,74249) = ( 74237 × 74249) / 1
LCM(74237,74249) = 5512023013 / 1
LCM(74237,74249) = 5512023013
Least Common Multiple (LCM) of 74237 and 74249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74237 and 74249. First we will calculate the prime factors of 74237 and 74249.
Prime Factorization of 74237
Prime factors of 74237 are 61, 1217. Prime factorization of 74237 in exponential form is:
74237 = 611 × 12171
Prime Factorization of 74249
Prime factors of 74249 are 7, 10607. Prime factorization of 74249 in exponential form is:
74249 = 71 × 106071
Now multiplying the highest exponent prime factors to calculate the LCM of 74237 and 74249.
LCM(74237,74249) = 611 × 12171 × 71 × 106071
LCM(74237,74249) = 5512023013
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