What is the Least Common Multiple of 40780 and 40788?
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 40780 and 40788 is 415833660.
LCM(40780,40788) = 415833660
Least Common Multiple of 40780 and 40788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40780 and 40788, than apply into the LCM equation.
GCF(40780,40788) = 4
LCM(40780,40788) = ( 40780 × 40788) / 4
LCM(40780,40788) = 1663334640 / 4
LCM(40780,40788) = 415833660
Least Common Multiple (LCM) of 40780 and 40788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40780 and 40788. First we will calculate the prime factors of 40780 and 40788.
Prime Factorization of 40780
Prime factors of 40780 are 2, 5, 2039. Prime factorization of 40780 in exponential form is:
40780 = 22 × 51 × 20391
Prime Factorization of 40788
Prime factors of 40788 are 2, 3, 11, 103. Prime factorization of 40788 in exponential form is:
40788 = 22 × 32 × 111 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 40780 and 40788.
LCM(40780,40788) = 22 × 51 × 20391 × 32 × 111 × 1031
LCM(40780,40788) = 415833660
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