What is the Least Common Multiple of 56918 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 56918 and 56930 is 1620170870.
LCM(56918,56930) = 1620170870
Least Common Multiple of 56918 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 56918 and 56930, than apply into the LCM equation.
GCF(56918,56930) = 2
LCM(56918,56930) = ( 56918 × 56930) / 2
LCM(56918,56930) = 3240341740 / 2
LCM(56918,56930) = 1620170870
Least Common Multiple (LCM) of 56918 and 56930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56918 and 56930. First we will calculate the prime factors of 56918 and 56930.
Prime Factorization of 56918
Prime factors of 56918 are 2, 149, 191. Prime factorization of 56918 in exponential form is:
56918 = 21 × 1491 × 1911
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 56918 and 56930.
LCM(56918,56930) = 21 × 1491 × 1911 × 51 × 56931
LCM(56918,56930) = 1620170870
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