What is the Least Common Multiple of 17759 and 17778?
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 17759 and 17778 is 315719502.
LCM(17759,17778) = 315719502
Least Common Multiple of 17759 and 17778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17759 and 17778, than apply into the LCM equation.
GCF(17759,17778) = 1
LCM(17759,17778) = ( 17759 × 17778) / 1
LCM(17759,17778) = 315719502 / 1
LCM(17759,17778) = 315719502
Least Common Multiple (LCM) of 17759 and 17778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17759 and 17778. First we will calculate the prime factors of 17759 and 17778.
Prime Factorization of 17759
Prime factors of 17759 are 7, 43, 59. Prime factorization of 17759 in exponential form is:
17759 = 71 × 431 × 591
Prime Factorization of 17778
Prime factors of 17778 are 2, 3, 2963. Prime factorization of 17778 in exponential form is:
17778 = 21 × 31 × 29631
Now multiplying the highest exponent prime factors to calculate the LCM of 17759 and 17778.
LCM(17759,17778) = 71 × 431 × 591 × 21 × 31 × 29631
LCM(17759,17778) = 315719502
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