What is the Least Common Multiple of 66921 and 66939?
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 66921 and 66939 is 1493208273.
LCM(66921,66939) = 1493208273
Least Common Multiple of 66921 and 66939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66921 and 66939, than apply into the LCM equation.
GCF(66921,66939) = 3
LCM(66921,66939) = ( 66921 × 66939) / 3
LCM(66921,66939) = 4479624819 / 3
LCM(66921,66939) = 1493208273
Least Common Multiple (LCM) of 66921 and 66939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66921 and 66939. First we will calculate the prime factors of 66921 and 66939.
Prime Factorization of 66921
Prime factors of 66921 are 3, 22307. Prime factorization of 66921 in exponential form is:
66921 = 31 × 223071
Prime Factorization of 66939
Prime factors of 66939 are 3, 53, 421. Prime factorization of 66939 in exponential form is:
66939 = 31 × 531 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 66921 and 66939.
LCM(66921,66939) = 31 × 223071 × 531 × 4211
LCM(66921,66939) = 1493208273
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