What is the Least Common Multiple of 66901 and 66913?
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 66901 and 66913 is 4476546613.
LCM(66901,66913) = 4476546613
Least Common Multiple of 66901 and 66913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66901 and 66913, than apply into the LCM equation.
GCF(66901,66913) = 1
LCM(66901,66913) = ( 66901 × 66913) / 1
LCM(66901,66913) = 4476546613 / 1
LCM(66901,66913) = 4476546613
Least Common Multiple (LCM) of 66901 and 66913 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66901 and 66913. First we will calculate the prime factors of 66901 and 66913.
Prime Factorization of 66901
Prime factors of 66901 are 149, 449. Prime factorization of 66901 in exponential form is:
66901 = 1491 × 4491
Prime Factorization of 66913
Prime factors of 66913 are 7, 11, 79. Prime factorization of 66913 in exponential form is:
66913 = 71 × 112 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 66901 and 66913.
LCM(66901,66913) = 1491 × 4491 × 71 × 112 × 791
LCM(66901,66913) = 4476546613
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