What is the Least Common Multiple of 98066 and 98072?
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 98066 and 98072 is 4808764376.
LCM(98066,98072) = 4808764376
Least Common Multiple of 98066 and 98072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98066 and 98072, than apply into the LCM equation.
GCF(98066,98072) = 2
LCM(98066,98072) = ( 98066 × 98072) / 2
LCM(98066,98072) = 9617528752 / 2
LCM(98066,98072) = 4808764376
Least Common Multiple (LCM) of 98066 and 98072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98066 and 98072. First we will calculate the prime factors of 98066 and 98072.
Prime Factorization of 98066
Prime factors of 98066 are 2, 49033. Prime factorization of 98066 in exponential form is:
98066 = 21 × 490331
Prime Factorization of 98072
Prime factors of 98072 are 2, 13, 23, 41. Prime factorization of 98072 in exponential form is:
98072 = 23 × 131 × 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 98066 and 98072.
LCM(98066,98072) = 23 × 490331 × 131 × 231 × 411
LCM(98066,98072) = 4808764376
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