What is the Least Common Multiple of 66625 and 66630?
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 66625 and 66630 is 887844750.
LCM(66625,66630) = 887844750
Least Common Multiple of 66625 and 66630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66625 and 66630, than apply into the LCM equation.
GCF(66625,66630) = 5
LCM(66625,66630) = ( 66625 × 66630) / 5
LCM(66625,66630) = 4439223750 / 5
LCM(66625,66630) = 887844750
Least Common Multiple (LCM) of 66625 and 66630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66625 and 66630. First we will calculate the prime factors of 66625 and 66630.
Prime Factorization of 66625
Prime factors of 66625 are 5, 13, 41. Prime factorization of 66625 in exponential form is:
66625 = 53 × 131 × 411
Prime Factorization of 66630
Prime factors of 66630 are 2, 3, 5, 2221. Prime factorization of 66630 in exponential form is:
66630 = 21 × 31 × 51 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 66625 and 66630.
LCM(66625,66630) = 53 × 131 × 411 × 21 × 31 × 22211
LCM(66625,66630) = 887844750
Related Least Common Multiples of 66625
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Related Least Common Multiples of 66630
- LCM of 66630 and 66634
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- LCM of 66630 and 66644
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