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What is the Least Common Multiple of 77102 and 77110?

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 77102 and 77110 is 2972667610.

LCM(77102,77110) = 2972667610

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Least Common Multiple of 77102 and 77110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77102 and 77110, than apply into the LCM equation.

GCF(77102,77110) = 2
LCM(77102,77110) = ( 77102 × 77110) / 2
LCM(77102,77110) = 5945335220 / 2
LCM(77102,77110) = 2972667610

Least Common Multiple (LCM) of 77102 and 77110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77102 and 77110. First we will calculate the prime factors of 77102 and 77110.

Prime Factorization of 77102

Prime factors of 77102 are 2, 19, 2029. Prime factorization of 77102 in exponential form is:

77102 = 21 × 191 × 20291

Prime Factorization of 77110

Prime factors of 77110 are 2, 5, 11, 701. Prime factorization of 77110 in exponential form is:

77110 = 21 × 51 × 111 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 77102 and 77110.

LCM(77102,77110) = 21 × 191 × 20291 × 51 × 111 × 7011
LCM(77102,77110) = 2972667610