What is the Least Common Multiple of 40368 and 40384?
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 40368 and 40384 is 101888832.
LCM(40368,40384) = 101888832
Least Common Multiple of 40368 and 40384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40368 and 40384, than apply into the LCM equation.
GCF(40368,40384) = 16
LCM(40368,40384) = ( 40368 × 40384) / 16
LCM(40368,40384) = 1630221312 / 16
LCM(40368,40384) = 101888832
Least Common Multiple (LCM) of 40368 and 40384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40368 and 40384. First we will calculate the prime factors of 40368 and 40384.
Prime Factorization of 40368
Prime factors of 40368 are 2, 3, 29. Prime factorization of 40368 in exponential form is:
40368 = 24 × 31 × 292
Prime Factorization of 40384
Prime factors of 40384 are 2, 631. Prime factorization of 40384 in exponential form is:
40384 = 26 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 40368 and 40384.
LCM(40368,40384) = 26 × 31 × 292 × 6311
LCM(40368,40384) = 101888832
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