What is the Least Common Multiple of 971 and 981?
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 971 and 981 is 952551.
LCM(971,981) = 952551
Least Common Multiple of 971 and 981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 971 and 981, than apply into the LCM equation.
GCF(971,981) = 1
LCM(971,981) = ( 971 × 981) / 1
LCM(971,981) = 952551 / 1
LCM(971,981) = 952551
Least Common Multiple (LCM) of 971 and 981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 981. First we will calculate the prime factors of 971 and 981.
Prime Factorization of 971
Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:
971 = 9711
Prime Factorization of 981
Prime factors of 981 are 3, 109. Prime factorization of 981 in exponential form is:
981 = 32 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 981.
LCM(971,981) = 9711 × 32 × 1091
LCM(971,981) = 952551
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