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What is the Least Common Multiple of 26702 and 26720?

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 26702 and 26720 is 356738720.

LCM(26702,26720) = 356738720

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Least Common Multiple of 26702 and 26720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26702 and 26720, than apply into the LCM equation.

GCF(26702,26720) = 2
LCM(26702,26720) = ( 26702 × 26720) / 2
LCM(26702,26720) = 713477440 / 2
LCM(26702,26720) = 356738720

Least Common Multiple (LCM) of 26702 and 26720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26702 and 26720. First we will calculate the prime factors of 26702 and 26720.

Prime Factorization of 26702

Prime factors of 26702 are 2, 13, 79. Prime factorization of 26702 in exponential form is:

26702 = 21 × 132 × 791

Prime Factorization of 26720

Prime factors of 26720 are 2, 5, 167. Prime factorization of 26720 in exponential form is:

26720 = 25 × 51 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 26702 and 26720.

LCM(26702,26720) = 25 × 132 × 791 × 51 × 1671
LCM(26702,26720) = 356738720