What is the Least Common Multiple of 1750 and 1762?
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 1750 and 1762 is 1541750.
LCM(1750,1762) = 1541750
Least Common Multiple of 1750 and 1762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1750 and 1762, than apply into the LCM equation.
GCF(1750,1762) = 2
LCM(1750,1762) = ( 1750 × 1762) / 2
LCM(1750,1762) = 3083500 / 2
LCM(1750,1762) = 1541750
Least Common Multiple (LCM) of 1750 and 1762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1750 and 1762. First we will calculate the prime factors of 1750 and 1762.
Prime Factorization of 1750
Prime factors of 1750 are 2, 5, 7. Prime factorization of 1750 in exponential form is:
1750 = 21 × 53 × 71
Prime Factorization of 1762
Prime factors of 1762 are 2, 881. Prime factorization of 1762 in exponential form is:
1762 = 21 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 1750 and 1762.
LCM(1750,1762) = 21 × 53 × 71 × 8811
LCM(1750,1762) = 1541750
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