What is the Least Common Multiple of 40772 and 40780?
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 40772 and 40780 is 415670540.
LCM(40772,40780) = 415670540
Least Common Multiple of 40772 and 40780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40772 and 40780, than apply into the LCM equation.
GCF(40772,40780) = 4
LCM(40772,40780) = ( 40772 × 40780) / 4
LCM(40772,40780) = 1662682160 / 4
LCM(40772,40780) = 415670540
Least Common Multiple (LCM) of 40772 and 40780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40772 and 40780. First we will calculate the prime factors of 40772 and 40780.
Prime Factorization of 40772
Prime factors of 40772 are 2, 10193. Prime factorization of 40772 in exponential form is:
40772 = 22 × 101931
Prime Factorization of 40780
Prime factors of 40780 are 2, 5, 2039. Prime factorization of 40780 in exponential form is:
40780 = 22 × 51 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 40772 and 40780.
LCM(40772,40780) = 22 × 101931 × 51 × 20391
LCM(40772,40780) = 415670540
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