What is the Least Common Multiple of 90847 and 90866?
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 90847 and 90866 is 8254903502.
LCM(90847,90866) = 8254903502
Least Common Multiple of 90847 and 90866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90847 and 90866, than apply into the LCM equation.
GCF(90847,90866) = 1
LCM(90847,90866) = ( 90847 × 90866) / 1
LCM(90847,90866) = 8254903502 / 1
LCM(90847,90866) = 8254903502
Least Common Multiple (LCM) of 90847 and 90866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90847 and 90866. First we will calculate the prime factors of 90847 and 90866.
Prime Factorization of 90847
Prime factors of 90847 are 90847. Prime factorization of 90847 in exponential form is:
90847 = 908471
Prime Factorization of 90866
Prime factors of 90866 are 2, 45433. Prime factorization of 90866 in exponential form is:
90866 = 21 × 454331
Now multiplying the highest exponent prime factors to calculate the LCM of 90847 and 90866.
LCM(90847,90866) = 908471 × 21 × 454331
LCM(90847,90866) = 8254903502
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