What is the Least Common Multiple of 71955 and 71964?
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 71955 and 71964 is 575352180.
LCM(71955,71964) = 575352180
Least Common Multiple of 71955 and 71964 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71955 and 71964, than apply into the LCM equation.
GCF(71955,71964) = 9
LCM(71955,71964) = ( 71955 × 71964) / 9
LCM(71955,71964) = 5178169620 / 9
LCM(71955,71964) = 575352180
Least Common Multiple (LCM) of 71955 and 71964 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71955 and 71964. First we will calculate the prime factors of 71955 and 71964.
Prime Factorization of 71955
Prime factors of 71955 are 3, 5, 13, 41. Prime factorization of 71955 in exponential form is:
71955 = 33 × 51 × 131 × 411
Prime Factorization of 71964
Prime factors of 71964 are 2, 3, 1999. Prime factorization of 71964 in exponential form is:
71964 = 22 × 32 × 19991
Now multiplying the highest exponent prime factors to calculate the LCM of 71955 and 71964.
LCM(71955,71964) = 33 × 51 × 131 × 411 × 22 × 19991
LCM(71955,71964) = 575352180
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