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What is the Least Common Multiple of 40520 and 40533?

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 40520 and 40533 is 1642397160.

LCM(40520,40533) = 1642397160

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Least Common Multiple of 40520 and 40533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40520 and 40533, than apply into the LCM equation.

GCF(40520,40533) = 1
LCM(40520,40533) = ( 40520 × 40533) / 1
LCM(40520,40533) = 1642397160 / 1
LCM(40520,40533) = 1642397160

Least Common Multiple (LCM) of 40520 and 40533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40520 and 40533. First we will calculate the prime factors of 40520 and 40533.

Prime Factorization of 40520

Prime factors of 40520 are 2, 5, 1013. Prime factorization of 40520 in exponential form is:

40520 = 23 × 51 × 10131

Prime Factorization of 40533

Prime factors of 40533 are 3, 59, 229. Prime factorization of 40533 in exponential form is:

40533 = 31 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 40520 and 40533.

LCM(40520,40533) = 23 × 51 × 10131 × 31 × 591 × 2291
LCM(40520,40533) = 1642397160