What is the Least Common Multiple of 95221 and 95236?
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 95221 and 95236 is 9068467156.
LCM(95221,95236) = 9068467156
Least Common Multiple of 95221 and 95236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95221 and 95236, than apply into the LCM equation.
GCF(95221,95236) = 1
LCM(95221,95236) = ( 95221 × 95236) / 1
LCM(95221,95236) = 9068467156 / 1
LCM(95221,95236) = 9068467156
Least Common Multiple (LCM) of 95221 and 95236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95221 and 95236. First we will calculate the prime factors of 95221 and 95236.
Prime Factorization of 95221
Prime factors of 95221 are 7, 61, 223. Prime factorization of 95221 in exponential form is:
95221 = 71 × 611 × 2231
Prime Factorization of 95236
Prime factors of 95236 are 2, 29, 821. Prime factorization of 95236 in exponential form is:
95236 = 22 × 291 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 95221 and 95236.
LCM(95221,95236) = 71 × 611 × 2231 × 22 × 291 × 8211
LCM(95221,95236) = 9068467156
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