What is the Least Common Multiple of 66609 and 66619?
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 66609 and 66619 is 4437424971.
LCM(66609,66619) = 4437424971
Least Common Multiple of 66609 and 66619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66609 and 66619, than apply into the LCM equation.
GCF(66609,66619) = 1
LCM(66609,66619) = ( 66609 × 66619) / 1
LCM(66609,66619) = 4437424971 / 1
LCM(66609,66619) = 4437424971
Least Common Multiple (LCM) of 66609 and 66619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66609 and 66619. First we will calculate the prime factors of 66609 and 66619.
Prime Factorization of 66609
Prime factors of 66609 are 3, 2467. Prime factorization of 66609 in exponential form is:
66609 = 33 × 24671
Prime Factorization of 66619
Prime factors of 66619 are 7, 31, 307. Prime factorization of 66619 in exponential form is:
66619 = 71 × 311 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 66609 and 66619.
LCM(66609,66619) = 33 × 24671 × 71 × 311 × 3071
LCM(66609,66619) = 4437424971
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