What is the Least Common Multiple of 66720 and 66731?
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 66720 and 66731 is 4452292320.
LCM(66720,66731) = 4452292320
Least Common Multiple of 66720 and 66731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66720 and 66731, than apply into the LCM equation.
GCF(66720,66731) = 1
LCM(66720,66731) = ( 66720 × 66731) / 1
LCM(66720,66731) = 4452292320 / 1
LCM(66720,66731) = 4452292320
Least Common Multiple (LCM) of 66720 and 66731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66720 and 66731. First we will calculate the prime factors of 66720 and 66731.
Prime Factorization of 66720
Prime factors of 66720 are 2, 3, 5, 139. Prime factorization of 66720 in exponential form is:
66720 = 25 × 31 × 51 × 1391
Prime Factorization of 66731
Prime factors of 66731 are 7, 9533. Prime factorization of 66731 in exponential form is:
66731 = 71 × 95331
Now multiplying the highest exponent prime factors to calculate the LCM of 66720 and 66731.
LCM(66720,66731) = 25 × 31 × 51 × 1391 × 71 × 95331
LCM(66720,66731) = 4452292320
Related Least Common Multiples of 66720
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Related Least Common Multiples of 66731
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