What is the Least Common Multiple of 93947 and 93951?
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 93947 and 93951 is 8826414597.
LCM(93947,93951) = 8826414597
Least Common Multiple of 93947 and 93951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93947 and 93951, than apply into the LCM equation.
GCF(93947,93951) = 1
LCM(93947,93951) = ( 93947 × 93951) / 1
LCM(93947,93951) = 8826414597 / 1
LCM(93947,93951) = 8826414597
Least Common Multiple (LCM) of 93947 and 93951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93947 and 93951. First we will calculate the prime factors of 93947 and 93951.
Prime Factorization of 93947
Prime factors of 93947 are 7, 13421. Prime factorization of 93947 in exponential form is:
93947 = 71 × 134211
Prime Factorization of 93951
Prime factors of 93951 are 3, 11, 13, 73. Prime factorization of 93951 in exponential form is:
93951 = 32 × 111 × 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 93947 and 93951.
LCM(93947,93951) = 71 × 134211 × 32 × 111 × 131 × 731
LCM(93947,93951) = 8826414597
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