What is the Least Common Multiple of 56961 and 56965?
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 56961 and 56965 is 3244783365.
LCM(56961,56965) = 3244783365
Least Common Multiple of 56961 and 56965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56961 and 56965, than apply into the LCM equation.
GCF(56961,56965) = 1
LCM(56961,56965) = ( 56961 × 56965) / 1
LCM(56961,56965) = 3244783365 / 1
LCM(56961,56965) = 3244783365
Least Common Multiple (LCM) of 56961 and 56965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56961 and 56965. First we will calculate the prime factors of 56961 and 56965.
Prime Factorization of 56961
Prime factors of 56961 are 3, 6329. Prime factorization of 56961 in exponential form is:
56961 = 32 × 63291
Prime Factorization of 56965
Prime factors of 56965 are 5, 11393. Prime factorization of 56965 in exponential form is:
56965 = 51 × 113931
Now multiplying the highest exponent prime factors to calculate the LCM of 56961 and 56965.
LCM(56961,56965) = 32 × 63291 × 51 × 113931
LCM(56961,56965) = 3244783365
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