What is the Least Common Multiple of 98633 and 98650?
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 98633 and 98650 is 9730145450.
LCM(98633,98650) = 9730145450
Least Common Multiple of 98633 and 98650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98633 and 98650, than apply into the LCM equation.
GCF(98633,98650) = 1
LCM(98633,98650) = ( 98633 × 98650) / 1
LCM(98633,98650) = 9730145450 / 1
LCM(98633,98650) = 9730145450
Least Common Multiple (LCM) of 98633 and 98650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98633 and 98650. First we will calculate the prime factors of 98633 and 98650.
Prime Factorization of 98633
Prime factors of 98633 are 53, 1861. Prime factorization of 98633 in exponential form is:
98633 = 531 × 18611
Prime Factorization of 98650
Prime factors of 98650 are 2, 5, 1973. Prime factorization of 98650 in exponential form is:
98650 = 21 × 52 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 98633 and 98650.
LCM(98633,98650) = 531 × 18611 × 21 × 52 × 19731
LCM(98633,98650) = 9730145450
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