What is the Least Common Multiple of 98033 and 98037?
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 98033 and 98037 is 9610861221.
LCM(98033,98037) = 9610861221
Least Common Multiple of 98033 and 98037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98033 and 98037, than apply into the LCM equation.
GCF(98033,98037) = 1
LCM(98033,98037) = ( 98033 × 98037) / 1
LCM(98033,98037) = 9610861221 / 1
LCM(98033,98037) = 9610861221
Least Common Multiple (LCM) of 98033 and 98037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98033 and 98037. First we will calculate the prime factors of 98033 and 98037.
Prime Factorization of 98033
Prime factors of 98033 are 13, 7541. Prime factorization of 98033 in exponential form is:
98033 = 131 × 75411
Prime Factorization of 98037
Prime factors of 98037 are 3, 3631. Prime factorization of 98037 in exponential form is:
98037 = 33 × 36311
Now multiplying the highest exponent prime factors to calculate the LCM of 98033 and 98037.
LCM(98033,98037) = 131 × 75411 × 33 × 36311
LCM(98033,98037) = 9610861221
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