What is the Least Common Multiple of 40464 and 40477?
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 40464 and 40477 is 1637861328.
LCM(40464,40477) = 1637861328
Least Common Multiple of 40464 and 40477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40464 and 40477, than apply into the LCM equation.
GCF(40464,40477) = 1
LCM(40464,40477) = ( 40464 × 40477) / 1
LCM(40464,40477) = 1637861328 / 1
LCM(40464,40477) = 1637861328
Least Common Multiple (LCM) of 40464 and 40477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40464 and 40477. First we will calculate the prime factors of 40464 and 40477.
Prime Factorization of 40464
Prime factors of 40464 are 2, 3, 281. Prime factorization of 40464 in exponential form is:
40464 = 24 × 32 × 2811
Prime Factorization of 40477
Prime factors of 40477 are 17, 2381. Prime factorization of 40477 in exponential form is:
40477 = 171 × 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 40464 and 40477.
LCM(40464,40477) = 24 × 32 × 2811 × 171 × 23811
LCM(40464,40477) = 1637861328
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