What is the Least Common Multiple of 49707 and 49723?
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 49707 and 49723 is 2471581161.
LCM(49707,49723) = 2471581161
Least Common Multiple of 49707 and 49723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49707 and 49723, than apply into the LCM equation.
GCF(49707,49723) = 1
LCM(49707,49723) = ( 49707 × 49723) / 1
LCM(49707,49723) = 2471581161 / 1
LCM(49707,49723) = 2471581161
Least Common Multiple (LCM) of 49707 and 49723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49707 and 49723. First we will calculate the prime factors of 49707 and 49723.
Prime Factorization of 49707
Prime factors of 49707 are 3, 7, 263. Prime factorization of 49707 in exponential form is:
49707 = 33 × 71 × 2631
Prime Factorization of 49723
Prime factors of 49723 are 19, 2617. Prime factorization of 49723 in exponential form is:
49723 = 191 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 49707 and 49723.
LCM(49707,49723) = 33 × 71 × 2631 × 191 × 26171
LCM(49707,49723) = 2471581161
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