What is the Least Common Multiple of 62934 and 62939?
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 62934 and 62939 is 3961003026.
LCM(62934,62939) = 3961003026
Least Common Multiple of 62934 and 62939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62934 and 62939, than apply into the LCM equation.
GCF(62934,62939) = 1
LCM(62934,62939) = ( 62934 × 62939) / 1
LCM(62934,62939) = 3961003026 / 1
LCM(62934,62939) = 3961003026
Least Common Multiple (LCM) of 62934 and 62939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62934 and 62939. First we will calculate the prime factors of 62934 and 62939.
Prime Factorization of 62934
Prime factors of 62934 are 2, 3, 17, 617. Prime factorization of 62934 in exponential form is:
62934 = 21 × 31 × 171 × 6171
Prime Factorization of 62939
Prime factors of 62939 are 62939. Prime factorization of 62939 in exponential form is:
62939 = 629391
Now multiplying the highest exponent prime factors to calculate the LCM of 62934 and 62939.
LCM(62934,62939) = 21 × 31 × 171 × 6171 × 629391
LCM(62934,62939) = 3961003026
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