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What is the Least Common Multiple of 34918 and 34927?

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 34918 and 34927 is 1219580986.

LCM(34918,34927) = 1219580986

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Least Common Multiple of 34918 and 34927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34918 and 34927, than apply into the LCM equation.

GCF(34918,34927) = 1
LCM(34918,34927) = ( 34918 × 34927) / 1
LCM(34918,34927) = 1219580986 / 1
LCM(34918,34927) = 1219580986

Least Common Multiple (LCM) of 34918 and 34927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34918 and 34927. First we will calculate the prime factors of 34918 and 34927.

Prime Factorization of 34918

Prime factors of 34918 are 2, 13, 17, 79. Prime factorization of 34918 in exponential form is:

34918 = 21 × 131 × 171 × 791

Prime Factorization of 34927

Prime factors of 34927 are 53, 659. Prime factorization of 34927 in exponential form is:

34927 = 531 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 34918 and 34927.

LCM(34918,34927) = 21 × 131 × 171 × 791 × 531 × 6591
LCM(34918,34927) = 1219580986