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What is the Least Common Multiple of 84934 and 84938?

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 84934 and 84938 is 3607062046.

LCM(84934,84938) = 3607062046

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Least Common Multiple of 84934 and 84938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84934 and 84938, than apply into the LCM equation.

GCF(84934,84938) = 2
LCM(84934,84938) = ( 84934 × 84938) / 2
LCM(84934,84938) = 7214124092 / 2
LCM(84934,84938) = 3607062046

Least Common Multiple (LCM) of 84934 and 84938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84934 and 84938. First we will calculate the prime factors of 84934 and 84938.

Prime Factorization of 84934

Prime factors of 84934 are 2, 42467. Prime factorization of 84934 in exponential form is:

84934 = 21 × 424671

Prime Factorization of 84938

Prime factors of 84938 are 2, 7, 6067. Prime factorization of 84938 in exponential form is:

84938 = 21 × 71 × 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 84934 and 84938.

LCM(84934,84938) = 21 × 424671 × 71 × 60671
LCM(84934,84938) = 3607062046