What is the Least Common Multiple of 40250 and 40260?
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 40250 and 40260 is 162046500.
LCM(40250,40260) = 162046500
Least Common Multiple of 40250 and 40260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40250 and 40260, than apply into the LCM equation.
GCF(40250,40260) = 10
LCM(40250,40260) = ( 40250 × 40260) / 10
LCM(40250,40260) = 1620465000 / 10
LCM(40250,40260) = 162046500
Least Common Multiple (LCM) of 40250 and 40260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40250 and 40260. First we will calculate the prime factors of 40250 and 40260.
Prime Factorization of 40250
Prime factors of 40250 are 2, 5, 7, 23. Prime factorization of 40250 in exponential form is:
40250 = 21 × 53 × 71 × 231
Prime Factorization of 40260
Prime factors of 40260 are 2, 3, 5, 11, 61. Prime factorization of 40260 in exponential form is:
40260 = 22 × 31 × 51 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 40250 and 40260.
LCM(40250,40260) = 22 × 53 × 71 × 231 × 31 × 111 × 611
LCM(40250,40260) = 162046500
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