What is the Least Common Multiple of 935 and 946?
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 935 and 946 is 80410.
LCM(935,946) = 80410
Least Common Multiple of 935 and 946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 935 and 946, than apply into the LCM equation.
GCF(935,946) = 11
LCM(935,946) = ( 935 × 946) / 11
LCM(935,946) = 884510 / 11
LCM(935,946) = 80410
Least Common Multiple (LCM) of 935 and 946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 935 and 946. First we will calculate the prime factors of 935 and 946.
Prime Factorization of 935
Prime factors of 935 are 5, 11, 17. Prime factorization of 935 in exponential form is:
935 = 51 × 111 × 171
Prime Factorization of 946
Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:
946 = 21 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 935 and 946.
LCM(935,946) = 51 × 111 × 171 × 21 × 431
LCM(935,946) = 80410
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