What is the Least Common Multiple of 66902 and 66920?
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 66902 and 66920 is 2238540920.
LCM(66902,66920) = 2238540920
Least Common Multiple of 66902 and 66920 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66902 and 66920, than apply into the LCM equation.
GCF(66902,66920) = 2
LCM(66902,66920) = ( 66902 × 66920) / 2
LCM(66902,66920) = 4477081840 / 2
LCM(66902,66920) = 2238540920
Least Common Multiple (LCM) of 66902 and 66920 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66902 and 66920. First we will calculate the prime factors of 66902 and 66920.
Prime Factorization of 66902
Prime factors of 66902 are 2, 11, 3041. Prime factorization of 66902 in exponential form is:
66902 = 21 × 111 × 30411
Prime Factorization of 66920
Prime factors of 66920 are 2, 5, 7, 239. Prime factorization of 66920 in exponential form is:
66920 = 23 × 51 × 71 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 66902 and 66920.
LCM(66902,66920) = 23 × 111 × 30411 × 51 × 71 × 2391
LCM(66902,66920) = 2238540920
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