What is the Least Common Multiple of 928 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 928 and 946 is 438944.
LCM(928,946) = 438944
Least Common Multiple of 928 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 928 and 946, than apply into the LCM equation.
GCF(928,946) = 2
LCM(928,946) = ( 928 × 946) / 2
LCM(928,946) = 877888 / 2
LCM(928,946) = 438944
Least Common Multiple (LCM) of 928 and 946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 946. First we will calculate the prime factors of 928 and 946.
Prime Factorization of 928
Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:
928 = 25 × 291
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 928 and 946.
LCM(928,946) = 25 × 291 × 111 × 431
LCM(928,946) = 438944
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