What is the Least Common Multiple of 66925 and 66942?
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 66925 and 66942 is 4480093350.
LCM(66925,66942) = 4480093350
Least Common Multiple of 66925 and 66942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66925 and 66942, than apply into the LCM equation.
GCF(66925,66942) = 1
LCM(66925,66942) = ( 66925 × 66942) / 1
LCM(66925,66942) = 4480093350 / 1
LCM(66925,66942) = 4480093350
Least Common Multiple (LCM) of 66925 and 66942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66925 and 66942. First we will calculate the prime factors of 66925 and 66942.
Prime Factorization of 66925
Prime factors of 66925 are 5, 2677. Prime factorization of 66925 in exponential form is:
66925 = 52 × 26771
Prime Factorization of 66942
Prime factors of 66942 are 2, 3, 3719. Prime factorization of 66942 in exponential form is:
66942 = 21 × 32 × 37191
Now multiplying the highest exponent prime factors to calculate the LCM of 66925 and 66942.
LCM(66925,66942) = 52 × 26771 × 21 × 32 × 37191
LCM(66925,66942) = 4480093350
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