What is the Least Common Multiple of 40473 and 40487?
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 40473 and 40487 is 1638630351.
LCM(40473,40487) = 1638630351
Least Common Multiple of 40473 and 40487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40473 and 40487, than apply into the LCM equation.
GCF(40473,40487) = 1
LCM(40473,40487) = ( 40473 × 40487) / 1
LCM(40473,40487) = 1638630351 / 1
LCM(40473,40487) = 1638630351
Least Common Multiple (LCM) of 40473 and 40487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40473 and 40487. First we will calculate the prime factors of 40473 and 40487.
Prime Factorization of 40473
Prime factors of 40473 are 3, 1499. Prime factorization of 40473 in exponential form is:
40473 = 33 × 14991
Prime Factorization of 40487
Prime factors of 40487 are 40487. Prime factorization of 40487 in exponential form is:
40487 = 404871
Now multiplying the highest exponent prime factors to calculate the LCM of 40473 and 40487.
LCM(40473,40487) = 33 × 14991 × 404871
LCM(40473,40487) = 1638630351
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