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What is the Least Common Multiple of 26970 and 26985?

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 26970 and 26985 is 48519030.

LCM(26970,26985) = 48519030

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Least Common Multiple of 26970 and 26985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26970 and 26985, than apply into the LCM equation.

GCF(26970,26985) = 15
LCM(26970,26985) = ( 26970 × 26985) / 15
LCM(26970,26985) = 727785450 / 15
LCM(26970,26985) = 48519030

Least Common Multiple (LCM) of 26970 and 26985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26970 and 26985. First we will calculate the prime factors of 26970 and 26985.

Prime Factorization of 26970

Prime factors of 26970 are 2, 3, 5, 29, 31. Prime factorization of 26970 in exponential form is:

26970 = 21 × 31 × 51 × 291 × 311

Prime Factorization of 26985

Prime factors of 26985 are 3, 5, 7, 257. Prime factorization of 26985 in exponential form is:

26985 = 31 × 51 × 71 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 26970 and 26985.

LCM(26970,26985) = 21 × 31 × 51 × 291 × 311 × 71 × 2571
LCM(26970,26985) = 48519030