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What is the Least Common Multiple of 54702 and 54706?

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 54702 and 54706 is 1496263806.

LCM(54702,54706) = 1496263806

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Least Common Multiple of 54702 and 54706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54702 and 54706, than apply into the LCM equation.

GCF(54702,54706) = 2
LCM(54702,54706) = ( 54702 × 54706) / 2
LCM(54702,54706) = 2992527612 / 2
LCM(54702,54706) = 1496263806

Least Common Multiple (LCM) of 54702 and 54706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54702 and 54706. First we will calculate the prime factors of 54702 and 54706.

Prime Factorization of 54702

Prime factors of 54702 are 2, 3, 1013. Prime factorization of 54702 in exponential form is:

54702 = 21 × 33 × 10131

Prime Factorization of 54706

Prime factors of 54706 are 2, 17, 1609. Prime factorization of 54706 in exponential form is:

54706 = 21 × 171 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 54702 and 54706.

LCM(54702,54706) = 21 × 33 × 10131 × 171 × 16091
LCM(54702,54706) = 1496263806