What is the Least Common Multiple of 98537 and 98555?
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 98537 and 98555 is 9711314035.
LCM(98537,98555) = 9711314035
Least Common Multiple of 98537 and 98555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98537 and 98555, than apply into the LCM equation.
GCF(98537,98555) = 1
LCM(98537,98555) = ( 98537 × 98555) / 1
LCM(98537,98555) = 9711314035 / 1
LCM(98537,98555) = 9711314035
Least Common Multiple (LCM) of 98537 and 98555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98537 and 98555. First we will calculate the prime factors of 98537 and 98555.
Prime Factorization of 98537
Prime factors of 98537 are 211, 467. Prime factorization of 98537 in exponential form is:
98537 = 2111 × 4671
Prime Factorization of 98555
Prime factors of 98555 are 5, 23, 857. Prime factorization of 98555 in exponential form is:
98555 = 51 × 231 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 98537 and 98555.
LCM(98537,98555) = 2111 × 4671 × 51 × 231 × 8571
LCM(98537,98555) = 9711314035
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