What is the Least Common Multiple of 43453 and 43468?
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 43453 and 43468 is 1888815004.
LCM(43453,43468) = 1888815004
Least Common Multiple of 43453 and 43468 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43453 and 43468, than apply into the LCM equation.
GCF(43453,43468) = 1
LCM(43453,43468) = ( 43453 × 43468) / 1
LCM(43453,43468) = 1888815004 / 1
LCM(43453,43468) = 1888815004
Least Common Multiple (LCM) of 43453 and 43468 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43453 and 43468. First we will calculate the prime factors of 43453 and 43468.
Prime Factorization of 43453
Prime factors of 43453 are 19, 2287. Prime factorization of 43453 in exponential form is:
43453 = 191 × 22871
Prime Factorization of 43468
Prime factors of 43468 are 2, 10867. Prime factorization of 43468 in exponential form is:
43468 = 22 × 108671
Now multiplying the highest exponent prime factors to calculate the LCM of 43453 and 43468.
LCM(43453,43468) = 191 × 22871 × 22 × 108671
LCM(43453,43468) = 1888815004
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