What is the Least Common Multiple of 93761 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 93761 and 93766 is 8791593926.
LCM(93761,93766) = 8791593926
Least Common Multiple of 93761 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 93761 and 93766, than apply into the LCM equation.
GCF(93761,93766) = 1
LCM(93761,93766) = ( 93761 × 93766) / 1
LCM(93761,93766) = 8791593926 / 1
LCM(93761,93766) = 8791593926
Least Common Multiple (LCM) of 93761 and 93766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93761 and 93766. First we will calculate the prime factors of 93761 and 93766.
Prime Factorization of 93761
Prime factors of 93761 are 93761. Prime factorization of 93761 in exponential form is:
93761 = 937611
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 93761 and 93766.
LCM(93761,93766) = 937611 × 21 × 1731 × 2711
LCM(93761,93766) = 8791593926
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