What is the Least Common Multiple of 40246 and 40266?
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 40246 and 40266 is 810272718.
LCM(40246,40266) = 810272718
Least Common Multiple of 40246 and 40266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40246 and 40266, than apply into the LCM equation.
GCF(40246,40266) = 2
LCM(40246,40266) = ( 40246 × 40266) / 2
LCM(40246,40266) = 1620545436 / 2
LCM(40246,40266) = 810272718
Least Common Multiple (LCM) of 40246 and 40266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40246 and 40266. First we will calculate the prime factors of 40246 and 40266.
Prime Factorization of 40246
Prime factors of 40246 are 2, 20123. Prime factorization of 40246 in exponential form is:
40246 = 21 × 201231
Prime Factorization of 40266
Prime factors of 40266 are 2, 3, 2237. Prime factorization of 40266 in exponential form is:
40266 = 21 × 32 × 22371
Now multiplying the highest exponent prime factors to calculate the LCM of 40246 and 40266.
LCM(40246,40266) = 21 × 201231 × 32 × 22371
LCM(40246,40266) = 810272718
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