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What is the Least Common Multiple of 27145 and 27162?

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 27145 and 27162 is 737312490.

LCM(27145,27162) = 737312490

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Least Common Multiple of 27145 and 27162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27145 and 27162, than apply into the LCM equation.

GCF(27145,27162) = 1
LCM(27145,27162) = ( 27145 × 27162) / 1
LCM(27145,27162) = 737312490 / 1
LCM(27145,27162) = 737312490

Least Common Multiple (LCM) of 27145 and 27162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27145 and 27162. First we will calculate the prime factors of 27145 and 27162.

Prime Factorization of 27145

Prime factors of 27145 are 5, 61, 89. Prime factorization of 27145 in exponential form is:

27145 = 51 × 611 × 891

Prime Factorization of 27162

Prime factors of 27162 are 2, 3, 503. Prime factorization of 27162 in exponential form is:

27162 = 21 × 33 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 27145 and 27162.

LCM(27145,27162) = 51 × 611 × 891 × 21 × 33 × 5031
LCM(27145,27162) = 737312490