What is the Least Common Multiple of 95241 and 95246?
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 95241 and 95246 is 9071324286.
LCM(95241,95246) = 9071324286
Least Common Multiple of 95241 and 95246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95241 and 95246, than apply into the LCM equation.
GCF(95241,95246) = 1
LCM(95241,95246) = ( 95241 × 95246) / 1
LCM(95241,95246) = 9071324286 / 1
LCM(95241,95246) = 9071324286
Least Common Multiple (LCM) of 95241 and 95246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95241 and 95246. First we will calculate the prime factors of 95241 and 95246.
Prime Factorization of 95241
Prime factors of 95241 are 3, 53, 599. Prime factorization of 95241 in exponential form is:
95241 = 31 × 531 × 5991
Prime Factorization of 95246
Prime factors of 95246 are 2, 47623. Prime factorization of 95246 in exponential form is:
95246 = 21 × 476231
Now multiplying the highest exponent prime factors to calculate the LCM of 95241 and 95246.
LCM(95241,95246) = 31 × 531 × 5991 × 21 × 476231
LCM(95241,95246) = 9071324286
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