What is the Least Common Multiple of 66730 and 66738?
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 66730 and 66738 is 2226713370.
LCM(66730,66738) = 2226713370
Least Common Multiple of 66730 and 66738 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66730 and 66738, than apply into the LCM equation.
GCF(66730,66738) = 2
LCM(66730,66738) = ( 66730 × 66738) / 2
LCM(66730,66738) = 4453426740 / 2
LCM(66730,66738) = 2226713370
Least Common Multiple (LCM) of 66730 and 66738 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66730 and 66738. First we will calculate the prime factors of 66730 and 66738.
Prime Factorization of 66730
Prime factors of 66730 are 2, 5, 6673. Prime factorization of 66730 in exponential form is:
66730 = 21 × 51 × 66731
Prime Factorization of 66738
Prime factors of 66738 are 2, 3, 7, 227. Prime factorization of 66738 in exponential form is:
66738 = 21 × 31 × 72 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 66730 and 66738.
LCM(66730,66738) = 21 × 51 × 66731 × 31 × 72 × 2271
LCM(66730,66738) = 2226713370
Related Least Common Multiples of 66730
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Related Least Common Multiples of 66738
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