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What is the Least Common Multiple of 61700 and 61714?

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 61700 and 61714 is 1903876900.

LCM(61700,61714) = 1903876900

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Least Common Multiple of 61700 and 61714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61700 and 61714, than apply into the LCM equation.

GCF(61700,61714) = 2
LCM(61700,61714) = ( 61700 × 61714) / 2
LCM(61700,61714) = 3807753800 / 2
LCM(61700,61714) = 1903876900

Least Common Multiple (LCM) of 61700 and 61714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61700 and 61714. First we will calculate the prime factors of 61700 and 61714.

Prime Factorization of 61700

Prime factors of 61700 are 2, 5, 617. Prime factorization of 61700 in exponential form is:

61700 = 22 × 52 × 6171

Prime Factorization of 61714

Prime factors of 61714 are 2, 59, 523. Prime factorization of 61714 in exponential form is:

61714 = 21 × 591 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 61700 and 61714.

LCM(61700,61714) = 22 × 52 × 6171 × 591 × 5231
LCM(61700,61714) = 1903876900