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What is the Least Common Multiple of 27358 and 27371?

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 27358 and 27371 is 748815818.

LCM(27358,27371) = 748815818

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Least Common Multiple of 27358 and 27371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27358 and 27371, than apply into the LCM equation.

GCF(27358,27371) = 1
LCM(27358,27371) = ( 27358 × 27371) / 1
LCM(27358,27371) = 748815818 / 1
LCM(27358,27371) = 748815818

Least Common Multiple (LCM) of 27358 and 27371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27358 and 27371. First we will calculate the prime factors of 27358 and 27371.

Prime Factorization of 27358

Prime factors of 27358 are 2, 13679. Prime factorization of 27358 in exponential form is:

27358 = 21 × 136791

Prime Factorization of 27371

Prime factors of 27371 are 101, 271. Prime factorization of 27371 in exponential form is:

27371 = 1011 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 27358 and 27371.

LCM(27358,27371) = 21 × 136791 × 1011 × 2711
LCM(27358,27371) = 748815818