What is the Least Common Multiple of 98053 and 98068?
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 98053 and 98068 is 9615861604.
LCM(98053,98068) = 9615861604
Least Common Multiple of 98053 and 98068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98053 and 98068, than apply into the LCM equation.
GCF(98053,98068) = 1
LCM(98053,98068) = ( 98053 × 98068) / 1
LCM(98053,98068) = 9615861604 / 1
LCM(98053,98068) = 9615861604
Least Common Multiple (LCM) of 98053 and 98068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98053 and 98068. First we will calculate the prime factors of 98053 and 98068.
Prime Factorization of 98053
Prime factors of 98053 are 31, 3163. Prime factorization of 98053 in exponential form is:
98053 = 311 × 31631
Prime Factorization of 98068
Prime factors of 98068 are 2, 24517. Prime factorization of 98068 in exponential form is:
98068 = 22 × 245171
Now multiplying the highest exponent prime factors to calculate the LCM of 98053 and 98068.
LCM(98053,98068) = 311 × 31631 × 22 × 245171
LCM(98053,98068) = 9615861604
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