What is the Least Common Multiple of 56846 and 56855?
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 56846 and 56855 is 3231979330.
LCM(56846,56855) = 3231979330
Least Common Multiple of 56846 and 56855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56846 and 56855, than apply into the LCM equation.
GCF(56846,56855) = 1
LCM(56846,56855) = ( 56846 × 56855) / 1
LCM(56846,56855) = 3231979330 / 1
LCM(56846,56855) = 3231979330
Least Common Multiple (LCM) of 56846 and 56855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56846 and 56855. First we will calculate the prime factors of 56846 and 56855.
Prime Factorization of 56846
Prime factors of 56846 are 2, 43, 661. Prime factorization of 56846 in exponential form is:
56846 = 21 × 431 × 6611
Prime Factorization of 56855
Prime factors of 56855 are 5, 83, 137. Prime factorization of 56855 in exponential form is:
56855 = 51 × 831 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 56846 and 56855.
LCM(56846,56855) = 21 × 431 × 6611 × 51 × 831 × 1371
LCM(56846,56855) = 3231979330
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