What is the Least Common Multiple of 93662 and 93678?
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 93662 and 93678 is 4387034418.
LCM(93662,93678) = 4387034418
Least Common Multiple of 93662 and 93678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93662 and 93678, than apply into the LCM equation.
GCF(93662,93678) = 2
LCM(93662,93678) = ( 93662 × 93678) / 2
LCM(93662,93678) = 8774068836 / 2
LCM(93662,93678) = 4387034418
Least Common Multiple (LCM) of 93662 and 93678 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93662 and 93678. First we will calculate the prime factors of 93662 and 93678.
Prime Factorization of 93662
Prime factors of 93662 are 2, 46831. Prime factorization of 93662 in exponential form is:
93662 = 21 × 468311
Prime Factorization of 93678
Prime factors of 93678 are 2, 3, 13, 1201. Prime factorization of 93678 in exponential form is:
93678 = 21 × 31 × 131 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 93662 and 93678.
LCM(93662,93678) = 21 × 468311 × 31 × 131 × 12011
LCM(93662,93678) = 4387034418
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