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What is the Least Common Multiple of 54702 and 54714?

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 54714 is 498827538.

LCM(54702,54714) = 498827538

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Least Common Multiple of 54702 and 54714 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 54714, than apply into the LCM equation.

GCF(54702,54714) = 6
LCM(54702,54714) = ( 54702 × 54714) / 6
LCM(54702,54714) = 2992965228 / 6
LCM(54702,54714) = 498827538

Least Common Multiple (LCM) of 54702 and 54714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54702 and 54714. First we will calculate the prime factors of 54702 and 54714.

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 54714

Prime factors of 54714 are 2, 3, 11, 829. Prime factorization of 54714 in exponential form is:

54714 = 21 × 31 × 111 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 54702 and 54714.

LCM(54702,54714) = 21 × 33 × 10131 × 111 × 8291
LCM(54702,54714) = 498827538