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What is the Least Common Multiple of 41932 and 41944?

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 41932 and 41944 is 439698952.

LCM(41932,41944) = 439698952

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Least Common Multiple of 41932 and 41944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41932 and 41944, than apply into the LCM equation.

GCF(41932,41944) = 4
LCM(41932,41944) = ( 41932 × 41944) / 4
LCM(41932,41944) = 1758795808 / 4
LCM(41932,41944) = 439698952

Least Common Multiple (LCM) of 41932 and 41944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41932 and 41944. First we will calculate the prime factors of 41932 and 41944.

Prime Factorization of 41932

Prime factors of 41932 are 2, 11, 953. Prime factorization of 41932 in exponential form is:

41932 = 22 × 111 × 9531

Prime Factorization of 41944

Prime factors of 41944 are 2, 7, 107. Prime factorization of 41944 in exponential form is:

41944 = 23 × 72 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 41932 and 41944.

LCM(41932,41944) = 23 × 111 × 9531 × 72 × 1071
LCM(41932,41944) = 439698952