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What is the Least Common Multiple of 7094 and 7100?

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 7094 and 7100 is 25183700.

LCM(7094,7100) = 25183700

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Least Common Multiple of 7094 and 7100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7094 and 7100, than apply into the LCM equation.

GCF(7094,7100) = 2
LCM(7094,7100) = ( 7094 × 7100) / 2
LCM(7094,7100) = 50367400 / 2
LCM(7094,7100) = 25183700

Least Common Multiple (LCM) of 7094 and 7100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7094 and 7100. First we will calculate the prime factors of 7094 and 7100.

Prime Factorization of 7094

Prime factors of 7094 are 2, 3547. Prime factorization of 7094 in exponential form is:

7094 = 21 × 35471

Prime Factorization of 7100

Prime factors of 7100 are 2, 5, 71. Prime factorization of 7100 in exponential form is:

7100 = 22 × 52 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7094 and 7100.

LCM(7094,7100) = 22 × 35471 × 52 × 711
LCM(7094,7100) = 25183700