What is the Least Common Multiple of 40187 and 40206?
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 40187 and 40206 is 1615758522.
LCM(40187,40206) = 1615758522
Least Common Multiple of 40187 and 40206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40187 and 40206, than apply into the LCM equation.
GCF(40187,40206) = 1
LCM(40187,40206) = ( 40187 × 40206) / 1
LCM(40187,40206) = 1615758522 / 1
LCM(40187,40206) = 1615758522
Least Common Multiple (LCM) of 40187 and 40206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40187 and 40206. First we will calculate the prime factors of 40187 and 40206.
Prime Factorization of 40187
Prime factors of 40187 are 7, 5741. Prime factorization of 40187 in exponential form is:
40187 = 71 × 57411
Prime Factorization of 40206
Prime factors of 40206 are 2, 3, 6701. Prime factorization of 40206 in exponential form is:
40206 = 21 × 31 × 67011
Now multiplying the highest exponent prime factors to calculate the LCM of 40187 and 40206.
LCM(40187,40206) = 71 × 57411 × 21 × 31 × 67011
LCM(40187,40206) = 1615758522
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