What is the Least Common Multiple of 43368 and 43373?
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 43368 and 43373 is 1881000264.
LCM(43368,43373) = 1881000264
Least Common Multiple of 43368 and 43373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43368 and 43373, than apply into the LCM equation.
GCF(43368,43373) = 1
LCM(43368,43373) = ( 43368 × 43373) / 1
LCM(43368,43373) = 1881000264 / 1
LCM(43368,43373) = 1881000264
Least Common Multiple (LCM) of 43368 and 43373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43368 and 43373. First we will calculate the prime factors of 43368 and 43373.
Prime Factorization of 43368
Prime factors of 43368 are 2, 3, 13, 139. Prime factorization of 43368 in exponential form is:
43368 = 23 × 31 × 131 × 1391
Prime Factorization of 43373
Prime factors of 43373 are 11, 3943. Prime factorization of 43373 in exponential form is:
43373 = 111 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 43368 and 43373.
LCM(43368,43373) = 23 × 31 × 131 × 1391 × 111 × 39431
LCM(43368,43373) = 1881000264
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