What is the Least Common Multiple of 90622 and 90637?
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 90622 and 90637 is 8213706214.
LCM(90622,90637) = 8213706214
Least Common Multiple of 90622 and 90637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90622 and 90637, than apply into the LCM equation.
GCF(90622,90637) = 1
LCM(90622,90637) = ( 90622 × 90637) / 1
LCM(90622,90637) = 8213706214 / 1
LCM(90622,90637) = 8213706214
Least Common Multiple (LCM) of 90622 and 90637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90622 and 90637. First we will calculate the prime factors of 90622 and 90637.
Prime Factorization of 90622
Prime factors of 90622 are 2, 7, 6473. Prime factorization of 90622 in exponential form is:
90622 = 21 × 71 × 64731
Prime Factorization of 90637
Prime factors of 90637 are 233, 389. Prime factorization of 90637 in exponential form is:
90637 = 2331 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 90622 and 90637.
LCM(90622,90637) = 21 × 71 × 64731 × 2331 × 3891
LCM(90622,90637) = 8213706214
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