What is the Least Common Multiple of 95486 and 95497?
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 95486 and 95497 is 9118626542.
LCM(95486,95497) = 9118626542
Least Common Multiple of 95486 and 95497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95486 and 95497, than apply into the LCM equation.
GCF(95486,95497) = 1
LCM(95486,95497) = ( 95486 × 95497) / 1
LCM(95486,95497) = 9118626542 / 1
LCM(95486,95497) = 9118626542
Least Common Multiple (LCM) of 95486 and 95497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95486 and 95497. First we will calculate the prime factors of 95486 and 95497.
Prime Factorization of 95486
Prime factors of 95486 are 2, 47743. Prime factorization of 95486 in exponential form is:
95486 = 21 × 477431
Prime Factorization of 95497
Prime factors of 95497 are 29, 37, 89. Prime factorization of 95497 in exponential form is:
95497 = 291 × 371 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 95486 and 95497.
LCM(95486,95497) = 21 × 477431 × 291 × 371 × 891
LCM(95486,95497) = 9118626542
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