What is the Least Common Multiple of 40622 and 40626?
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 40622 and 40626 is 825154686.
LCM(40622,40626) = 825154686
Least Common Multiple of 40622 and 40626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40622 and 40626, than apply into the LCM equation.
GCF(40622,40626) = 2
LCM(40622,40626) = ( 40622 × 40626) / 2
LCM(40622,40626) = 1650309372 / 2
LCM(40622,40626) = 825154686
Least Common Multiple (LCM) of 40622 and 40626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40622 and 40626. First we will calculate the prime factors of 40622 and 40626.
Prime Factorization of 40622
Prime factors of 40622 are 2, 19, 1069. Prime factorization of 40622 in exponential form is:
40622 = 21 × 191 × 10691
Prime Factorization of 40626
Prime factors of 40626 are 2, 3, 37, 61. Prime factorization of 40626 in exponential form is:
40626 = 21 × 32 × 371 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 40622 and 40626.
LCM(40622,40626) = 21 × 191 × 10691 × 32 × 371 × 611
LCM(40622,40626) = 825154686
Related Least Common Multiples of 40622
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