What is the Least Common Multiple of 614 and 619?
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 614 and 619 is 380066.
LCM(614,619) = 380066
Least Common Multiple of 614 and 619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 614 and 619, than apply into the LCM equation.
GCF(614,619) = 1
LCM(614,619) = ( 614 × 619) / 1
LCM(614,619) = 380066 / 1
LCM(614,619) = 380066
Least Common Multiple (LCM) of 614 and 619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 619. First we will calculate the prime factors of 614 and 619.
Prime Factorization of 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
Prime Factorization of 619
Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:
619 = 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 619.
LCM(614,619) = 21 × 3071 × 6191
LCM(614,619) = 380066
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