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What is the Least Common Multiple of 66836 and 66840?

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 66836 and 66840 is 1116829560.

LCM(66836,66840) = 1116829560

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Least Common Multiple of 66836 and 66840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66836 and 66840, than apply into the LCM equation.

GCF(66836,66840) = 4
LCM(66836,66840) = ( 66836 × 66840) / 4
LCM(66836,66840) = 4467318240 / 4
LCM(66836,66840) = 1116829560

Least Common Multiple (LCM) of 66836 and 66840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66836 and 66840. First we will calculate the prime factors of 66836 and 66840.

Prime Factorization of 66836

Prime factors of 66836 are 2, 7, 11, 31. Prime factorization of 66836 in exponential form is:

66836 = 22 × 72 × 111 × 311

Prime Factorization of 66840

Prime factors of 66840 are 2, 3, 5, 557. Prime factorization of 66840 in exponential form is:

66840 = 23 × 31 × 51 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 66836 and 66840.

LCM(66836,66840) = 23 × 72 × 111 × 311 × 31 × 51 × 5571
LCM(66836,66840) = 1116829560