What is the Least Common Multiple of 614 and 620?
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 620 is 190340.
LCM(614,620) = 190340
Least Common Multiple of 614 and 620 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 620, than apply into the LCM equation.
GCF(614,620) = 2
LCM(614,620) = ( 614 × 620) / 2
LCM(614,620) = 380680 / 2
LCM(614,620) = 190340
Least Common Multiple (LCM) of 614 and 620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 620. First we will calculate the prime factors of 614 and 620.
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 620
Prime factors of 620 are 2, 5, 31. Prime factorization of 620 in exponential form is:
620 = 22 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 620.
LCM(614,620) = 22 × 3071 × 51 × 311
LCM(614,620) = 190340
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Related Least Common Multiples of 620
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