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What is the Least Common Multiple of 66154 and 66160?

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 66154 and 66160 is 2188374320.

LCM(66154,66160) = 2188374320

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Least Common Multiple of 66154 and 66160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66154 and 66160, than apply into the LCM equation.

GCF(66154,66160) = 2
LCM(66154,66160) = ( 66154 × 66160) / 2
LCM(66154,66160) = 4376748640 / 2
LCM(66154,66160) = 2188374320

Least Common Multiple (LCM) of 66154 and 66160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66154 and 66160. First we will calculate the prime factors of 66154 and 66160.

Prime Factorization of 66154

Prime factors of 66154 are 2, 11, 31, 97. Prime factorization of 66154 in exponential form is:

66154 = 21 × 111 × 311 × 971

Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 24 × 51 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 66154 and 66160.

LCM(66154,66160) = 24 × 111 × 311 × 971 × 51 × 8271
LCM(66154,66160) = 2188374320