What is the Least Common Multiple of 983 and 988?
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 983 and 988 is 971204.
LCM(983,988) = 971204
Least Common Multiple of 983 and 988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 983 and 988, than apply into the LCM equation.
GCF(983,988) = 1
LCM(983,988) = ( 983 × 988) / 1
LCM(983,988) = 971204 / 1
LCM(983,988) = 971204
Least Common Multiple (LCM) of 983 and 988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 988. First we will calculate the prime factors of 983 and 988.
Prime Factorization of 983
Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:
983 = 9831
Prime Factorization of 988
Prime factors of 988 are 2, 13, 19. Prime factorization of 988 in exponential form is:
988 = 22 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 983 and 988.
LCM(983,988) = 9831 × 22 × 131 × 191
LCM(983,988) = 971204
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