What is the Least Common Multiple of 60925 and 60930?
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 60925 and 60930 is 742432050.
LCM(60925,60930) = 742432050
Least Common Multiple of 60925 and 60930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60925 and 60930, than apply into the LCM equation.
GCF(60925,60930) = 5
LCM(60925,60930) = ( 60925 × 60930) / 5
LCM(60925,60930) = 3712160250 / 5
LCM(60925,60930) = 742432050
Least Common Multiple (LCM) of 60925 and 60930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60925 and 60930. First we will calculate the prime factors of 60925 and 60930.
Prime Factorization of 60925
Prime factors of 60925 are 5, 2437. Prime factorization of 60925 in exponential form is:
60925 = 52 × 24371
Prime Factorization of 60930
Prime factors of 60930 are 2, 3, 5, 677. Prime factorization of 60930 in exponential form is:
60930 = 21 × 32 × 51 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 60925 and 60930.
LCM(60925,60930) = 52 × 24371 × 21 × 32 × 6771
LCM(60925,60930) = 742432050
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