What is the Least Common Multiple of 650 and 659?
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 650 and 659 is 428350.
LCM(650,659) = 428350
Least Common Multiple of 650 and 659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 650 and 659, than apply into the LCM equation.
GCF(650,659) = 1
LCM(650,659) = ( 650 × 659) / 1
LCM(650,659) = 428350 / 1
LCM(650,659) = 428350
Least Common Multiple (LCM) of 650 and 659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 659. First we will calculate the prime factors of 650 and 659.
Prime Factorization of 650
Prime factors of 650 are 2, 5, 13. Prime factorization of 650 in exponential form is:
650 = 21 × 52 × 131
Prime Factorization of 659
Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:
659 = 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 650 and 659.
LCM(650,659) = 21 × 52 × 131 × 6591
LCM(650,659) = 428350
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