What is the Least Common Multiple of 98471 and 98476?
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 98471 and 98476 is 9697030196.
LCM(98471,98476) = 9697030196
Least Common Multiple of 98471 and 98476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98471 and 98476, than apply into the LCM equation.
GCF(98471,98476) = 1
LCM(98471,98476) = ( 98471 × 98476) / 1
LCM(98471,98476) = 9697030196 / 1
LCM(98471,98476) = 9697030196
Least Common Multiple (LCM) of 98471 and 98476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98471 and 98476. First we will calculate the prime factors of 98471 and 98476.
Prime Factorization of 98471
Prime factors of 98471 are 59, 1669. Prime factorization of 98471 in exponential form is:
98471 = 591 × 16691
Prime Factorization of 98476
Prime factors of 98476 are 2, 7, 3517. Prime factorization of 98476 in exponential form is:
98476 = 22 × 71 × 35171
Now multiplying the highest exponent prime factors to calculate the LCM of 98471 and 98476.
LCM(98471,98476) = 591 × 16691 × 22 × 71 × 35171
LCM(98471,98476) = 9697030196
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