What is the Least Common Multiple of 91938 and 91946?
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 91938 and 91946 is 4226665674.
LCM(91938,91946) = 4226665674
Least Common Multiple of 91938 and 91946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91938 and 91946, than apply into the LCM equation.
GCF(91938,91946) = 2
LCM(91938,91946) = ( 91938 × 91946) / 2
LCM(91938,91946) = 8453331348 / 2
LCM(91938,91946) = 4226665674
Least Common Multiple (LCM) of 91938 and 91946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91938 and 91946. First we will calculate the prime factors of 91938 and 91946.
Prime Factorization of 91938
Prime factors of 91938 are 2, 3, 7, 11, 199. Prime factorization of 91938 in exponential form is:
91938 = 21 × 31 × 71 × 111 × 1991
Prime Factorization of 91946
Prime factors of 91946 are 2, 31, 1483. Prime factorization of 91946 in exponential form is:
91946 = 21 × 311 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 91938 and 91946.
LCM(91938,91946) = 21 × 31 × 71 × 111 × 1991 × 311 × 14831
LCM(91938,91946) = 4226665674
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