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What is the Least Common Multiple of 40860 and 40880?

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 40860 and 40880 is 83517840.

LCM(40860,40880) = 83517840

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Least Common Multiple of 40860 and 40880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40860 and 40880, than apply into the LCM equation.

GCF(40860,40880) = 20
LCM(40860,40880) = ( 40860 × 40880) / 20
LCM(40860,40880) = 1670356800 / 20
LCM(40860,40880) = 83517840

Least Common Multiple (LCM) of 40860 and 40880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40860 and 40880. First we will calculate the prime factors of 40860 and 40880.

Prime Factorization of 40860

Prime factors of 40860 are 2, 3, 5, 227. Prime factorization of 40860 in exponential form is:

40860 = 22 × 32 × 51 × 2271

Prime Factorization of 40880

Prime factors of 40880 are 2, 5, 7, 73. Prime factorization of 40880 in exponential form is:

40880 = 24 × 51 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 40860 and 40880.

LCM(40860,40880) = 24 × 32 × 51 × 2271 × 71 × 731
LCM(40860,40880) = 83517840