What is the Least Common Multiple of 93746 and 93766?
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 93746 and 93766 is 4395093718.
LCM(93746,93766) = 4395093718
Least Common Multiple of 93746 and 93766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93746 and 93766, than apply into the LCM equation.
GCF(93746,93766) = 2
LCM(93746,93766) = ( 93746 × 93766) / 2
LCM(93746,93766) = 8790187436 / 2
LCM(93746,93766) = 4395093718
Least Common Multiple (LCM) of 93746 and 93766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93746 and 93766. First we will calculate the prime factors of 93746 and 93766.
Prime Factorization of 93746
Prime factors of 93746 are 2, 19, 2467. Prime factorization of 93746 in exponential form is:
93746 = 21 × 191 × 24671
Prime Factorization of 93766
Prime factors of 93766 are 2, 173, 271. Prime factorization of 93766 in exponential form is:
93766 = 21 × 1731 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 93746 and 93766.
LCM(93746,93766) = 21 × 191 × 24671 × 1731 × 2711
LCM(93746,93766) = 4395093718
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