What is the Least Common Multiple of 66636 and 66652?
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 66636 and 66652 is 1110355668.
LCM(66636,66652) = 1110355668
Least Common Multiple of 66636 and 66652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66636 and 66652, than apply into the LCM equation.
GCF(66636,66652) = 4
LCM(66636,66652) = ( 66636 × 66652) / 4
LCM(66636,66652) = 4441422672 / 4
LCM(66636,66652) = 1110355668
Least Common Multiple (LCM) of 66636 and 66652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66636 and 66652. First we will calculate the prime factors of 66636 and 66652.
Prime Factorization of 66636
Prime factors of 66636 are 2, 3, 617. Prime factorization of 66636 in exponential form is:
66636 = 22 × 33 × 6171
Prime Factorization of 66652
Prime factors of 66652 are 2, 19, 877. Prime factorization of 66652 in exponential form is:
66652 = 22 × 191 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 66636 and 66652.
LCM(66636,66652) = 22 × 33 × 6171 × 191 × 8771
LCM(66636,66652) = 1110355668
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