What is the Least Common Multiple of 90590 and 90610?
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 90590 and 90610 is 820835990.
LCM(90590,90610) = 820835990
Least Common Multiple of 90590 and 90610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90590 and 90610, than apply into the LCM equation.
GCF(90590,90610) = 10
LCM(90590,90610) = ( 90590 × 90610) / 10
LCM(90590,90610) = 8208359900 / 10
LCM(90590,90610) = 820835990
Least Common Multiple (LCM) of 90590 and 90610 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90590 and 90610. First we will calculate the prime factors of 90590 and 90610.
Prime Factorization of 90590
Prime factors of 90590 are 2, 5, 9059. Prime factorization of 90590 in exponential form is:
90590 = 21 × 51 × 90591
Prime Factorization of 90610
Prime factors of 90610 are 2, 5, 13, 17, 41. Prime factorization of 90610 in exponential form is:
90610 = 21 × 51 × 131 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 90590 and 90610.
LCM(90590,90610) = 21 × 51 × 90591 × 131 × 171 × 411
LCM(90590,90610) = 820835990
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