What is the Least Common Multiple of 98053 and 98063?
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 98063 is 9615371339.
LCM(98053,98063) = 9615371339
Least Common Multiple of 98053 and 98063 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 98063, than apply into the LCM equation.
GCF(98053,98063) = 1
LCM(98053,98063) = ( 98053 × 98063) / 1
LCM(98053,98063) = 9615371339 / 1
LCM(98053,98063) = 9615371339
Least Common Multiple (LCM) of 98053 and 98063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98053 and 98063. First we will calculate the prime factors of 98053 and 98063.
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 98063
Prime factors of 98063 are 7, 14009. Prime factorization of 98063 in exponential form is:
98063 = 71 × 140091
Now multiplying the highest exponent prime factors to calculate the LCM of 98053 and 98063.
LCM(98053,98063) = 311 × 31631 × 71 × 140091
LCM(98053,98063) = 9615371339
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