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What is the Least Common Multiple of 98050 and 98057?

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 98050 and 98057 is 9614488850.

LCM(98050,98057) = 9614488850

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Least Common Multiple of 98050 and 98057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98050 and 98057, than apply into the LCM equation.

GCF(98050,98057) = 1
LCM(98050,98057) = ( 98050 × 98057) / 1
LCM(98050,98057) = 9614488850 / 1
LCM(98050,98057) = 9614488850

Least Common Multiple (LCM) of 98050 and 98057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98050 and 98057. First we will calculate the prime factors of 98050 and 98057.

Prime Factorization of 98050

Prime factors of 98050 are 2, 5, 37, 53. Prime factorization of 98050 in exponential form is:

98050 = 21 × 52 × 371 × 531

Prime Factorization of 98057

Prime factors of 98057 are 98057. Prime factorization of 98057 in exponential form is:

98057 = 980571

Now multiplying the highest exponent prime factors to calculate the LCM of 98050 and 98057.

LCM(98050,98057) = 21 × 52 × 371 × 531 × 980571
LCM(98050,98057) = 9614488850