What is the Least Common Multiple of 961 and 974?
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 961 and 974 is 936014.
LCM(961,974) = 936014
Least Common Multiple of 961 and 974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 961 and 974, than apply into the LCM equation.
GCF(961,974) = 1
LCM(961,974) = ( 961 × 974) / 1
LCM(961,974) = 936014 / 1
LCM(961,974) = 936014
Least Common Multiple (LCM) of 961 and 974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 974. First we will calculate the prime factors of 961 and 974.
Prime Factorization of 961
Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:
961 = 312
Prime Factorization of 974
Prime factors of 974 are 2, 487. Prime factorization of 974 in exponential form is:
974 = 21 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 961 and 974.
LCM(961,974) = 312 × 21 × 4871
LCM(961,974) = 936014
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