What is the Least Common Multiple of 980 and 998?
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 980 and 998 is 489020.
LCM(980,998) = 489020
Least Common Multiple of 980 and 998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 980 and 998, than apply into the LCM equation.
GCF(980,998) = 2
LCM(980,998) = ( 980 × 998) / 2
LCM(980,998) = 978040 / 2
LCM(980,998) = 489020
Least Common Multiple (LCM) of 980 and 998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 980 and 998. First we will calculate the prime factors of 980 and 998.
Prime Factorization of 980
Prime factors of 980 are 2, 5, 7. Prime factorization of 980 in exponential form is:
980 = 22 × 51 × 72
Prime Factorization of 998
Prime factors of 998 are 2, 499. Prime factorization of 998 in exponential form is:
998 = 21 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 980 and 998.
LCM(980,998) = 22 × 51 × 72 × 4991
LCM(980,998) = 489020
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