What is the Least Common Multiple of 40610 and 40622?
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 40610 and 40622 is 824829710.
LCM(40610,40622) = 824829710
Least Common Multiple of 40610 and 40622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40610 and 40622, than apply into the LCM equation.
GCF(40610,40622) = 2
LCM(40610,40622) = ( 40610 × 40622) / 2
LCM(40610,40622) = 1649659420 / 2
LCM(40610,40622) = 824829710
Least Common Multiple (LCM) of 40610 and 40622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40610 and 40622. First we will calculate the prime factors of 40610 and 40622.
Prime Factorization of 40610
Prime factors of 40610 are 2, 5, 31, 131. Prime factorization of 40610 in exponential form is:
40610 = 21 × 51 × 311 × 1311
Prime Factorization of 40622
Prime factors of 40622 are 2, 19, 1069. Prime factorization of 40622 in exponential form is:
40622 = 21 × 191 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 40610 and 40622.
LCM(40610,40622) = 21 × 51 × 311 × 1311 × 191 × 10691
LCM(40610,40622) = 824829710
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