What is the Least Common Multiple of 66895 and 66899?
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 66895 and 66899 is 4475208605.
LCM(66895,66899) = 4475208605
Least Common Multiple of 66895 and 66899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66895 and 66899, than apply into the LCM equation.
GCF(66895,66899) = 1
LCM(66895,66899) = ( 66895 × 66899) / 1
LCM(66895,66899) = 4475208605 / 1
LCM(66895,66899) = 4475208605
Least Common Multiple (LCM) of 66895 and 66899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66895 and 66899. First we will calculate the prime factors of 66895 and 66899.
Prime Factorization of 66895
Prime factors of 66895 are 5, 17, 787. Prime factorization of 66895 in exponential form is:
66895 = 51 × 171 × 7871
Prime Factorization of 66899
Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:
66899 = 71 × 191 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 66895 and 66899.
LCM(66895,66899) = 51 × 171 × 7871 × 71 × 191 × 5031
LCM(66895,66899) = 4475208605
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