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What is the Least Common Multiple of 40674 and 40680?

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 40674 and 40680 is 275769720.

LCM(40674,40680) = 275769720

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Least Common Multiple of 40674 and 40680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40674 and 40680, than apply into the LCM equation.

GCF(40674,40680) = 6
LCM(40674,40680) = ( 40674 × 40680) / 6
LCM(40674,40680) = 1654618320 / 6
LCM(40674,40680) = 275769720

Least Common Multiple (LCM) of 40674 and 40680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40674 and 40680. First we will calculate the prime factors of 40674 and 40680.

Prime Factorization of 40674

Prime factors of 40674 are 2, 3, 6779. Prime factorization of 40674 in exponential form is:

40674 = 21 × 31 × 67791

Prime Factorization of 40680

Prime factors of 40680 are 2, 3, 5, 113. Prime factorization of 40680 in exponential form is:

40680 = 23 × 32 × 51 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 40674 and 40680.

LCM(40674,40680) = 23 × 32 × 67791 × 51 × 1131
LCM(40674,40680) = 275769720