What is the Least Common Multiple of 66802 and 66810?
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 66802 and 66810 is 2231520810.
LCM(66802,66810) = 2231520810
Least Common Multiple of 66802 and 66810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66802 and 66810, than apply into the LCM equation.
GCF(66802,66810) = 2
LCM(66802,66810) = ( 66802 × 66810) / 2
LCM(66802,66810) = 4463041620 / 2
LCM(66802,66810) = 2231520810
Least Common Multiple (LCM) of 66802 and 66810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66802 and 66810. First we will calculate the prime factors of 66802 and 66810.
Prime Factorization of 66802
Prime factors of 66802 are 2, 127, 263. Prime factorization of 66802 in exponential form is:
66802 = 21 × 1271 × 2631
Prime Factorization of 66810
Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:
66810 = 21 × 31 × 51 × 171 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 66802 and 66810.
LCM(66802,66810) = 21 × 1271 × 2631 × 31 × 51 × 171 × 1311
LCM(66802,66810) = 2231520810
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