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What is the Least Common Multiple of 54693 and 54710?

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 54693 and 54710 is 2992254030.

LCM(54693,54710) = 2992254030

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Least Common Multiple of 54693 and 54710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54693 and 54710, than apply into the LCM equation.

GCF(54693,54710) = 1
LCM(54693,54710) = ( 54693 × 54710) / 1
LCM(54693,54710) = 2992254030 / 1
LCM(54693,54710) = 2992254030

Least Common Multiple (LCM) of 54693 and 54710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54693 and 54710. First we will calculate the prime factors of 54693 and 54710.

Prime Factorization of 54693

Prime factors of 54693 are 3, 59, 103. Prime factorization of 54693 in exponential form is:

54693 = 32 × 591 × 1031

Prime Factorization of 54710

Prime factors of 54710 are 2, 5, 5471. Prime factorization of 54710 in exponential form is:

54710 = 21 × 51 × 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 54693 and 54710.

LCM(54693,54710) = 32 × 591 × 1031 × 21 × 51 × 54711
LCM(54693,54710) = 2992254030