What is the Least Common Multiple of 931 and 935?
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 931 and 935 is 870485.
LCM(931,935) = 870485
Least Common Multiple of 931 and 935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 931 and 935, than apply into the LCM equation.
GCF(931,935) = 1
LCM(931,935) = ( 931 × 935) / 1
LCM(931,935) = 870485 / 1
LCM(931,935) = 870485
Least Common Multiple (LCM) of 931 and 935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 935. First we will calculate the prime factors of 931 and 935.
Prime Factorization of 931
Prime factors of 931 are 7, 19. Prime factorization of 931 in exponential form is:
931 = 72 × 191
Prime Factorization of 935
Prime factors of 935 are 5, 11, 17. Prime factorization of 935 in exponential form is:
935 = 51 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 935.
LCM(931,935) = 72 × 191 × 51 × 111 × 171
LCM(931,935) = 870485
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