What is the Least Common Multiple of 31760 and 31765?
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 31760 and 31765 is 201771280.
LCM(31760,31765) = 201771280
Least Common Multiple of 31760 and 31765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31760 and 31765, than apply into the LCM equation.
GCF(31760,31765) = 5
LCM(31760,31765) = ( 31760 × 31765) / 5
LCM(31760,31765) = 1008856400 / 5
LCM(31760,31765) = 201771280
Least Common Multiple (LCM) of 31760 and 31765 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31760 and 31765. First we will calculate the prime factors of 31760 and 31765.
Prime Factorization of 31760
Prime factors of 31760 are 2, 5, 397. Prime factorization of 31760 in exponential form is:
31760 = 24 × 51 × 3971
Prime Factorization of 31765
Prime factors of 31765 are 5, 6353. Prime factorization of 31765 in exponential form is:
31765 = 51 × 63531
Now multiplying the highest exponent prime factors to calculate the LCM of 31760 and 31765.
LCM(31760,31765) = 24 × 51 × 3971 × 63531
LCM(31760,31765) = 201771280
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