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What is the Least Common Multiple of 68710 and 68724?

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 68710 and 68724 is 2361013020.

LCM(68710,68724) = 2361013020

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Least Common Multiple of 68710 and 68724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68710 and 68724, than apply into the LCM equation.

GCF(68710,68724) = 2
LCM(68710,68724) = ( 68710 × 68724) / 2
LCM(68710,68724) = 4722026040 / 2
LCM(68710,68724) = 2361013020

Least Common Multiple (LCM) of 68710 and 68724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68710 and 68724. First we will calculate the prime factors of 68710 and 68724.

Prime Factorization of 68710

Prime factors of 68710 are 2, 5, 6871. Prime factorization of 68710 in exponential form is:

68710 = 21 × 51 × 68711

Prime Factorization of 68724

Prime factors of 68724 are 2, 3, 23, 83. Prime factorization of 68724 in exponential form is:

68724 = 22 × 32 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 68710 and 68724.

LCM(68710,68724) = 22 × 51 × 68711 × 32 × 231 × 831
LCM(68710,68724) = 2361013020