What is the Least Common Multiple of 62921 and 62933?
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 62921 and 62933 is 3959807293.
LCM(62921,62933) = 3959807293
Least Common Multiple of 62921 and 62933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62921 and 62933, than apply into the LCM equation.
GCF(62921,62933) = 1
LCM(62921,62933) = ( 62921 × 62933) / 1
LCM(62921,62933) = 3959807293 / 1
LCM(62921,62933) = 3959807293
Least Common Multiple (LCM) of 62921 and 62933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62921 and 62933. First we will calculate the prime factors of 62921 and 62933.
Prime Factorization of 62921
Prime factors of 62921 are 62921. Prime factorization of 62921 in exponential form is:
62921 = 629211
Prime Factorization of 62933
Prime factors of 62933 are 13, 47, 103. Prime factorization of 62933 in exponential form is:
62933 = 131 × 471 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 62921 and 62933.
LCM(62921,62933) = 629211 × 131 × 471 × 1031
LCM(62921,62933) = 3959807293
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