What is the Least Common Multiple of 92813 and 92818?
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 92813 and 92818 is 8614717034.
LCM(92813,92818) = 8614717034
Least Common Multiple of 92813 and 92818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92813 and 92818, than apply into the LCM equation.
GCF(92813,92818) = 1
LCM(92813,92818) = ( 92813 × 92818) / 1
LCM(92813,92818) = 8614717034 / 1
LCM(92813,92818) = 8614717034
Least Common Multiple (LCM) of 92813 and 92818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92813 and 92818. First we will calculate the prime factors of 92813 and 92818.
Prime Factorization of 92813
Prime factors of 92813 are 7, 13259. Prime factorization of 92813 in exponential form is:
92813 = 71 × 132591
Prime Factorization of 92818
Prime factors of 92818 are 2, 11, 4219. Prime factorization of 92818 in exponential form is:
92818 = 21 × 111 × 42191
Now multiplying the highest exponent prime factors to calculate the LCM of 92813 and 92818.
LCM(92813,92818) = 71 × 132591 × 21 × 111 × 42191
LCM(92813,92818) = 8614717034
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