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What is the Least Common Multiple of 26100 and 26104?

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 26100 and 26104 is 170328600.

LCM(26100,26104) = 170328600

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Least Common Multiple of 26100 and 26104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26100 and 26104, than apply into the LCM equation.

GCF(26100,26104) = 4
LCM(26100,26104) = ( 26100 × 26104) / 4
LCM(26100,26104) = 681314400 / 4
LCM(26100,26104) = 170328600

Least Common Multiple (LCM) of 26100 and 26104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26100 and 26104. First we will calculate the prime factors of 26100 and 26104.

Prime Factorization of 26100

Prime factors of 26100 are 2, 3, 5, 29. Prime factorization of 26100 in exponential form is:

26100 = 22 × 32 × 52 × 291

Prime Factorization of 26104

Prime factors of 26104 are 2, 13, 251. Prime factorization of 26104 in exponential form is:

26104 = 23 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 26100 and 26104.

LCM(26100,26104) = 23 × 32 × 52 × 291 × 131 × 2511
LCM(26100,26104) = 170328600