What is the Least Common Multiple of 94925 and 94930?
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 94925 and 94930 is 1802246050.
LCM(94925,94930) = 1802246050
Least Common Multiple of 94925 and 94930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94925 and 94930, than apply into the LCM equation.
GCF(94925,94930) = 5
LCM(94925,94930) = ( 94925 × 94930) / 5
LCM(94925,94930) = 9011230250 / 5
LCM(94925,94930) = 1802246050
Least Common Multiple (LCM) of 94925 and 94930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94925 and 94930. First we will calculate the prime factors of 94925 and 94930.
Prime Factorization of 94925
Prime factors of 94925 are 5, 3797. Prime factorization of 94925 in exponential form is:
94925 = 52 × 37971
Prime Factorization of 94930
Prime factors of 94930 are 2, 5, 11, 863. Prime factorization of 94930 in exponential form is:
94930 = 21 × 51 × 111 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 94925 and 94930.
LCM(94925,94930) = 52 × 37971 × 21 × 111 × 8631
LCM(94925,94930) = 1802246050
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