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What is the Least Common Multiple of 40249 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 40249 and 40266 is 1620666234.

LCM(40249,40266) = 1620666234

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Least Common Multiple of 40249 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 40249 and 40266, than apply into the LCM equation.

GCF(40249,40266) = 1
LCM(40249,40266) = ( 40249 × 40266) / 1
LCM(40249,40266) = 1620666234 / 1
LCM(40249,40266) = 1620666234

Least Common Multiple (LCM) of 40249 and 40266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40249 and 40266. First we will calculate the prime factors of 40249 and 40266.

Prime Factorization of 40249

Prime factors of 40249 are 11, 3659. Prime factorization of 40249 in exponential form is:

40249 = 111 × 36591

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 40249 and 40266.

LCM(40249,40266) = 111 × 36591 × 21 × 32 × 22371
LCM(40249,40266) = 1620666234