What is the Least Common Multiple of 50705 and 50712?
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 50705 and 50712 is 2571351960.
LCM(50705,50712) = 2571351960
Least Common Multiple of 50705 and 50712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50705 and 50712, than apply into the LCM equation.
GCF(50705,50712) = 1
LCM(50705,50712) = ( 50705 × 50712) / 1
LCM(50705,50712) = 2571351960 / 1
LCM(50705,50712) = 2571351960
Least Common Multiple (LCM) of 50705 and 50712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50705 and 50712. First we will calculate the prime factors of 50705 and 50712.
Prime Factorization of 50705
Prime factors of 50705 are 5, 10141. Prime factorization of 50705 in exponential form is:
50705 = 51 × 101411
Prime Factorization of 50712
Prime factors of 50712 are 2, 3, 2113. Prime factorization of 50712 in exponential form is:
50712 = 23 × 31 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 50705 and 50712.
LCM(50705,50712) = 51 × 101411 × 23 × 31 × 21131
LCM(50705,50712) = 2571351960
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