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What is the Least Common Multiple of 26072 and 26080?

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 26072 and 26080 is 84994720.

LCM(26072,26080) = 84994720

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Least Common Multiple of 26072 and 26080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26072 and 26080, than apply into the LCM equation.

GCF(26072,26080) = 8
LCM(26072,26080) = ( 26072 × 26080) / 8
LCM(26072,26080) = 679957760 / 8
LCM(26072,26080) = 84994720

Least Common Multiple (LCM) of 26072 and 26080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26072 and 26080. First we will calculate the prime factors of 26072 and 26080.

Prime Factorization of 26072

Prime factors of 26072 are 2, 3259. Prime factorization of 26072 in exponential form is:

26072 = 23 × 32591

Prime Factorization of 26080

Prime factors of 26080 are 2, 5, 163. Prime factorization of 26080 in exponential form is:

26080 = 25 × 51 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26072 and 26080.

LCM(26072,26080) = 25 × 32591 × 51 × 1631
LCM(26072,26080) = 84994720