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What is the Least Common Multiple of 67703 and 67713?

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 67703 and 67713 is 4584373239.

LCM(67703,67713) = 4584373239

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Least Common Multiple of 67703 and 67713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67703 and 67713, than apply into the LCM equation.

GCF(67703,67713) = 1
LCM(67703,67713) = ( 67703 × 67713) / 1
LCM(67703,67713) = 4584373239 / 1
LCM(67703,67713) = 4584373239

Least Common Multiple (LCM) of 67703 and 67713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67703 and 67713. First we will calculate the prime factors of 67703 and 67713.

Prime Factorization of 67703

Prime factors of 67703 are 79, 857. Prime factorization of 67703 in exponential form is:

67703 = 791 × 8571

Prime Factorization of 67713

Prime factors of 67713 are 3, 22571. Prime factorization of 67713 in exponential form is:

67713 = 31 × 225711

Now multiplying the highest exponent prime factors to calculate the LCM of 67703 and 67713.

LCM(67703,67713) = 791 × 8571 × 31 × 225711
LCM(67703,67713) = 4584373239