What is the Least Common Multiple of 90703 and 90722?
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 90703 and 90722 is 8228757566.
LCM(90703,90722) = 8228757566
Least Common Multiple of 90703 and 90722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90703 and 90722, than apply into the LCM equation.
GCF(90703,90722) = 1
LCM(90703,90722) = ( 90703 × 90722) / 1
LCM(90703,90722) = 8228757566 / 1
LCM(90703,90722) = 8228757566
Least Common Multiple (LCM) of 90703 and 90722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90703 and 90722. First we will calculate the prime factors of 90703 and 90722.
Prime Factorization of 90703
Prime factors of 90703 are 90703. Prime factorization of 90703 in exponential form is:
90703 = 907031
Prime Factorization of 90722
Prime factors of 90722 are 2, 45361. Prime factorization of 90722 in exponential form is:
90722 = 21 × 453611
Now multiplying the highest exponent prime factors to calculate the LCM of 90703 and 90722.
LCM(90703,90722) = 907031 × 21 × 453611
LCM(90703,90722) = 8228757566
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