What is the Least Common Multiple of 40636 and 40654?
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 40636 and 40654 is 826007972.
LCM(40636,40654) = 826007972
Least Common Multiple of 40636 and 40654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40636 and 40654, than apply into the LCM equation.
GCF(40636,40654) = 2
LCM(40636,40654) = ( 40636 × 40654) / 2
LCM(40636,40654) = 1652015944 / 2
LCM(40636,40654) = 826007972
Least Common Multiple (LCM) of 40636 and 40654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40636 and 40654. First we will calculate the prime factors of 40636 and 40654.
Prime Factorization of 40636
Prime factors of 40636 are 2, 10159. Prime factorization of 40636 in exponential form is:
40636 = 22 × 101591
Prime Factorization of 40654
Prime factors of 40654 are 2, 20327. Prime factorization of 40654 in exponential form is:
40654 = 21 × 203271
Now multiplying the highest exponent prime factors to calculate the LCM of 40636 and 40654.
LCM(40636,40654) = 22 × 101591 × 203271
LCM(40636,40654) = 826007972
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