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What is the Least Common Multiple of 66918 and 66929?

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 66918 and 66929 is 4478754822.

LCM(66918,66929) = 4478754822

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Least Common Multiple of 66918 and 66929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66918 and 66929, than apply into the LCM equation.

GCF(66918,66929) = 1
LCM(66918,66929) = ( 66918 × 66929) / 1
LCM(66918,66929) = 4478754822 / 1
LCM(66918,66929) = 4478754822

Least Common Multiple (LCM) of 66918 and 66929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66918 and 66929. First we will calculate the prime factors of 66918 and 66929.

Prime Factorization of 66918

Prime factors of 66918 are 2, 3, 19, 587. Prime factorization of 66918 in exponential form is:

66918 = 21 × 31 × 191 × 5871

Prime Factorization of 66929

Prime factors of 66929 are 17, 31, 127. Prime factorization of 66929 in exponential form is:

66929 = 171 × 311 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 66918 and 66929.

LCM(66918,66929) = 21 × 31 × 191 × 5871 × 171 × 311 × 1271
LCM(66918,66929) = 4478754822