What is the Least Common Multiple of 56911 and 56930?
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 56911 and 56930 is 3239943230.
LCM(56911,56930) = 3239943230
Least Common Multiple of 56911 and 56930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56911 and 56930, than apply into the LCM equation.
GCF(56911,56930) = 1
LCM(56911,56930) = ( 56911 × 56930) / 1
LCM(56911,56930) = 3239943230 / 1
LCM(56911,56930) = 3239943230
Least Common Multiple (LCM) of 56911 and 56930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56911 and 56930. First we will calculate the prime factors of 56911 and 56930.
Prime Factorization of 56911
Prime factors of 56911 are 56911. Prime factorization of 56911 in exponential form is:
56911 = 569111
Prime Factorization of 56930
Prime factors of 56930 are 2, 5, 5693. Prime factorization of 56930 in exponential form is:
56930 = 21 × 51 × 56931
Now multiplying the highest exponent prime factors to calculate the LCM of 56911 and 56930.
LCM(56911,56930) = 569111 × 21 × 51 × 56931
LCM(56911,56930) = 3239943230
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