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What is the Least Common Multiple of 66148 and 66163?

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 66148 and 66163 is 4376550124.

LCM(66148,66163) = 4376550124

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Least Common Multiple of 66148 and 66163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66148 and 66163, than apply into the LCM equation.

GCF(66148,66163) = 1
LCM(66148,66163) = ( 66148 × 66163) / 1
LCM(66148,66163) = 4376550124 / 1
LCM(66148,66163) = 4376550124

Least Common Multiple (LCM) of 66148 and 66163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66148 and 66163. First we will calculate the prime factors of 66148 and 66163.

Prime Factorization of 66148

Prime factors of 66148 are 2, 23, 719. Prime factorization of 66148 in exponential form is:

66148 = 22 × 231 × 7191

Prime Factorization of 66163

Prime factors of 66163 are 109, 607. Prime factorization of 66163 in exponential form is:

66163 = 1091 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 66148 and 66163.

LCM(66148,66163) = 22 × 231 × 7191 × 1091 × 6071
LCM(66148,66163) = 4376550124