What is the Least Common Multiple of 66482 and 66502?
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 66482 and 66502 is 2210592982.
LCM(66482,66502) = 2210592982
Least Common Multiple of 66482 and 66502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66482 and 66502, than apply into the LCM equation.
GCF(66482,66502) = 2
LCM(66482,66502) = ( 66482 × 66502) / 2
LCM(66482,66502) = 4421185964 / 2
LCM(66482,66502) = 2210592982
Least Common Multiple (LCM) of 66482 and 66502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66482 and 66502. First we will calculate the prime factors of 66482 and 66502.
Prime Factorization of 66482
Prime factors of 66482 are 2, 13, 2557. Prime factorization of 66482 in exponential form is:
66482 = 21 × 131 × 25571
Prime Factorization of 66502
Prime factors of 66502 are 2, 41, 811. Prime factorization of 66502 in exponential form is:
66502 = 21 × 411 × 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 66482 and 66502.
LCM(66482,66502) = 21 × 131 × 25571 × 411 × 8111
LCM(66482,66502) = 2210592982
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