What is the Least Common Multiple of 98920 and 98927?
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 98920 and 98927 is 9785858840.
LCM(98920,98927) = 9785858840
Least Common Multiple of 98920 and 98927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98920 and 98927, than apply into the LCM equation.
GCF(98920,98927) = 1
LCM(98920,98927) = ( 98920 × 98927) / 1
LCM(98920,98927) = 9785858840 / 1
LCM(98920,98927) = 9785858840
Least Common Multiple (LCM) of 98920 and 98927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98920 and 98927. First we will calculate the prime factors of 98920 and 98927.
Prime Factorization of 98920
Prime factors of 98920 are 2, 5, 2473. Prime factorization of 98920 in exponential form is:
98920 = 23 × 51 × 24731
Prime Factorization of 98927
Prime factors of 98927 are 98927. Prime factorization of 98927 in exponential form is:
98927 = 989271
Now multiplying the highest exponent prime factors to calculate the LCM of 98920 and 98927.
LCM(98920,98927) = 23 × 51 × 24731 × 989271
LCM(98920,98927) = 9785858840
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