What is the Least Common Multiple of 90297 and 90301?
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 90297 and 90301 is 8153909397.
LCM(90297,90301) = 8153909397
Least Common Multiple of 90297 and 90301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90297 and 90301, than apply into the LCM equation.
GCF(90297,90301) = 1
LCM(90297,90301) = ( 90297 × 90301) / 1
LCM(90297,90301) = 8153909397 / 1
LCM(90297,90301) = 8153909397
Least Common Multiple (LCM) of 90297 and 90301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90297 and 90301. First we will calculate the prime factors of 90297 and 90301.
Prime Factorization of 90297
Prime factors of 90297 are 3, 79, 127. Prime factorization of 90297 in exponential form is:
90297 = 32 × 791 × 1271
Prime Factorization of 90301
Prime factors of 90301 are 73, 1237. Prime factorization of 90301 in exponential form is:
90301 = 731 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 90297 and 90301.
LCM(90297,90301) = 32 × 791 × 1271 × 731 × 12371
LCM(90297,90301) = 8153909397
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