What is the Least Common Multiple of 66722 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 66722 and 66738 is 2226446418.
LCM(66722,66738) = 2226446418
Least Common Multiple of 66722 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 66722 and 66738, than apply into the LCM equation.
GCF(66722,66738) = 2
LCM(66722,66738) = ( 66722 × 66738) / 2
LCM(66722,66738) = 4452892836 / 2
LCM(66722,66738) = 2226446418
Least Common Multiple (LCM) of 66722 and 66738 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66722 and 66738. First we will calculate the prime factors of 66722 and 66738.
Prime Factorization of 66722
Prime factors of 66722 are 2, 73, 457. Prime factorization of 66722 in exponential form is:
66722 = 21 × 731 × 4571
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 66722 and 66738.
LCM(66722,66738) = 21 × 731 × 4571 × 31 × 72 × 2271
LCM(66722,66738) = 2226446418
Related Least Common Multiples of 66722
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Related Least Common Multiples of 66738
- LCM of 66738 and 66742
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