What is the Least Common Multiple of 39311 and 39320?
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 39311 and 39320 is 1545708520.
LCM(39311,39320) = 1545708520
Least Common Multiple of 39311 and 39320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39311 and 39320, than apply into the LCM equation.
GCF(39311,39320) = 1
LCM(39311,39320) = ( 39311 × 39320) / 1
LCM(39311,39320) = 1545708520 / 1
LCM(39311,39320) = 1545708520
Least Common Multiple (LCM) of 39311 and 39320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39311 and 39320. First we will calculate the prime factors of 39311 and 39320.
Prime Factorization of 39311
Prime factors of 39311 are 19, 2069. Prime factorization of 39311 in exponential form is:
39311 = 191 × 20691
Prime Factorization of 39320
Prime factors of 39320 are 2, 5, 983. Prime factorization of 39320 in exponential form is:
39320 = 23 × 51 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 39311 and 39320.
LCM(39311,39320) = 191 × 20691 × 23 × 51 × 9831
LCM(39311,39320) = 1545708520
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