What is the Least Common Multiple of 40235 and 40249?
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 40235 and 40249 is 1619418515.
LCM(40235,40249) = 1619418515
Least Common Multiple of 40235 and 40249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40235 and 40249, than apply into the LCM equation.
GCF(40235,40249) = 1
LCM(40235,40249) = ( 40235 × 40249) / 1
LCM(40235,40249) = 1619418515 / 1
LCM(40235,40249) = 1619418515
Least Common Multiple (LCM) of 40235 and 40249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40235 and 40249. First we will calculate the prime factors of 40235 and 40249.
Prime Factorization of 40235
Prime factors of 40235 are 5, 13, 619. Prime factorization of 40235 in exponential form is:
40235 = 51 × 131 × 6191
Prime Factorization of 40249
Prime factors of 40249 are 11, 3659. Prime factorization of 40249 in exponential form is:
40249 = 111 × 36591
Now multiplying the highest exponent prime factors to calculate the LCM of 40235 and 40249.
LCM(40235,40249) = 51 × 131 × 6191 × 111 × 36591
LCM(40235,40249) = 1619418515
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