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What is the Least Common Multiple of 61163 and 61176?

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 61163 and 61176 is 3741707688.

LCM(61163,61176) = 3741707688

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Least Common Multiple of 61163 and 61176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61163 and 61176, than apply into the LCM equation.

GCF(61163,61176) = 1
LCM(61163,61176) = ( 61163 × 61176) / 1
LCM(61163,61176) = 3741707688 / 1
LCM(61163,61176) = 3741707688

Least Common Multiple (LCM) of 61163 and 61176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61163 and 61176. First we will calculate the prime factors of 61163 and 61176.

Prime Factorization of 61163

Prime factors of 61163 are 31, 1973. Prime factorization of 61163 in exponential form is:

61163 = 311 × 19731

Prime Factorization of 61176

Prime factors of 61176 are 2, 3, 2549. Prime factorization of 61176 in exponential form is:

61176 = 23 × 31 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 61163 and 61176.

LCM(61163,61176) = 311 × 19731 × 23 × 31 × 25491
LCM(61163,61176) = 3741707688