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What is the Least Common Multiple of 26030 and 26037?

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 26030 and 26037 is 677743110.

LCM(26030,26037) = 677743110

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Least Common Multiple of 26030 and 26037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26030 and 26037, than apply into the LCM equation.

GCF(26030,26037) = 1
LCM(26030,26037) = ( 26030 × 26037) / 1
LCM(26030,26037) = 677743110 / 1
LCM(26030,26037) = 677743110

Least Common Multiple (LCM) of 26030 and 26037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26030 and 26037. First we will calculate the prime factors of 26030 and 26037.

Prime Factorization of 26030

Prime factors of 26030 are 2, 5, 19, 137. Prime factorization of 26030 in exponential form is:

26030 = 21 × 51 × 191 × 1371

Prime Factorization of 26037

Prime factors of 26037 are 3, 11, 263. Prime factorization of 26037 in exponential form is:

26037 = 32 × 111 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 26030 and 26037.

LCM(26030,26037) = 21 × 51 × 191 × 1371 × 32 × 111 × 2631
LCM(26030,26037) = 677743110