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What is the Least Common Multiple of 66796 and 66802?

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 66796 and 66802 is 2231053196.

LCM(66796,66802) = 2231053196

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Least Common Multiple of 66796 and 66802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66796 and 66802, than apply into the LCM equation.

GCF(66796,66802) = 2
LCM(66796,66802) = ( 66796 × 66802) / 2
LCM(66796,66802) = 4462106392 / 2
LCM(66796,66802) = 2231053196

Least Common Multiple (LCM) of 66796 and 66802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66796 and 66802. First we will calculate the prime factors of 66796 and 66802.

Prime Factorization of 66796

Prime factors of 66796 are 2, 16699. Prime factorization of 66796 in exponential form is:

66796 = 22 × 166991

Prime Factorization of 66802

Prime factors of 66802 are 2, 127, 263. Prime factorization of 66802 in exponential form is:

66802 = 21 × 1271 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 66796 and 66802.

LCM(66796,66802) = 22 × 166991 × 1271 × 2631
LCM(66796,66802) = 2231053196