What is the Least Common Multiple of 93933 and 93938?
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 93933 and 93938 is 8823878154.
LCM(93933,93938) = 8823878154
Least Common Multiple of 93933 and 93938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93933 and 93938, than apply into the LCM equation.
GCF(93933,93938) = 1
LCM(93933,93938) = ( 93933 × 93938) / 1
LCM(93933,93938) = 8823878154 / 1
LCM(93933,93938) = 8823878154
Least Common Multiple (LCM) of 93933 and 93938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93933 and 93938. First we will calculate the prime factors of 93933 and 93938.
Prime Factorization of 93933
Prime factors of 93933 are 3, 7, 71. Prime factorization of 93933 in exponential form is:
93933 = 33 × 72 × 711
Prime Factorization of 93938
Prime factors of 93938 are 2, 13, 3613. Prime factorization of 93938 in exponential form is:
93938 = 21 × 131 × 36131
Now multiplying the highest exponent prime factors to calculate the LCM of 93933 and 93938.
LCM(93933,93938) = 33 × 72 × 711 × 21 × 131 × 36131
LCM(93933,93938) = 8823878154
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