What is the Least Common Multiple of 95282 and 95291?
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 95282 and 95291 is 9079517062.
LCM(95282,95291) = 9079517062
Least Common Multiple of 95282 and 95291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95282 and 95291, than apply into the LCM equation.
GCF(95282,95291) = 1
LCM(95282,95291) = ( 95282 × 95291) / 1
LCM(95282,95291) = 9079517062 / 1
LCM(95282,95291) = 9079517062
Least Common Multiple (LCM) of 95282 and 95291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95282 and 95291. First we will calculate the prime factors of 95282 and 95291.
Prime Factorization of 95282
Prime factors of 95282 are 2, 11, 61, 71. Prime factorization of 95282 in exponential form is:
95282 = 21 × 111 × 611 × 711
Prime Factorization of 95291
Prime factors of 95291 are 7, 13613. Prime factorization of 95291 in exponential form is:
95291 = 71 × 136131
Now multiplying the highest exponent prime factors to calculate the LCM of 95282 and 95291.
LCM(95282,95291) = 21 × 111 × 611 × 711 × 71 × 136131
LCM(95282,95291) = 9079517062
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