What is the Least Common Multiple of 40277 and 40297?
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 40277 and 40297 is 1623042269.
LCM(40277,40297) = 1623042269
Least Common Multiple of 40277 and 40297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40277 and 40297, than apply into the LCM equation.
GCF(40277,40297) = 1
LCM(40277,40297) = ( 40277 × 40297) / 1
LCM(40277,40297) = 1623042269 / 1
LCM(40277,40297) = 1623042269
Least Common Multiple (LCM) of 40277 and 40297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40277 and 40297. First we will calculate the prime factors of 40277 and 40297.
Prime Factorization of 40277
Prime factors of 40277 are 40277. Prime factorization of 40277 in exponential form is:
40277 = 402771
Prime Factorization of 40297
Prime factors of 40297 are 59, 683. Prime factorization of 40297 in exponential form is:
40297 = 591 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 40277 and 40297.
LCM(40277,40297) = 402771 × 591 × 6831
LCM(40277,40297) = 1623042269
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