What is the Least Common Multiple of 93766 and 93772?
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 93766 and 93772 is 4396312676.
LCM(93766,93772) = 4396312676
Least Common Multiple of 93766 and 93772 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93766 and 93772, than apply into the LCM equation.
GCF(93766,93772) = 2
LCM(93766,93772) = ( 93766 × 93772) / 2
LCM(93766,93772) = 8792625352 / 2
LCM(93766,93772) = 4396312676
Least Common Multiple (LCM) of 93766 and 93772 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93766 and 93772. First we will calculate the prime factors of 93766 and 93772.
Prime Factorization of 93766
Prime factors of 93766 are 2, 173, 271. Prime factorization of 93766 in exponential form is:
93766 = 21 × 1731 × 2711
Prime Factorization of 93772
Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:
93772 = 22 × 71 × 171 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 93766 and 93772.
LCM(93766,93772) = 22 × 1731 × 2711 × 71 × 171 × 1971
LCM(93766,93772) = 4396312676
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