What is the Least Common Multiple of 614 and 618?
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 618 is 189726.
LCM(614,618) = 189726
Least Common Multiple of 614 and 618 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 618, than apply into the LCM equation.
GCF(614,618) = 2
LCM(614,618) = ( 614 × 618) / 2
LCM(614,618) = 379452 / 2
LCM(614,618) = 189726
Least Common Multiple (LCM) of 614 and 618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 618. First we will calculate the prime factors of 614 and 618.
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 618
Prime factors of 618 are 2, 3, 103. Prime factorization of 618 in exponential form is:
618 = 21 × 31 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 618.
LCM(614,618) = 21 × 3071 × 31 × 1031
LCM(614,618) = 189726
Related Least Common Multiples of 614
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Related Least Common Multiples of 618
- LCM of 618 and 622
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- LCM of 618 and 625
- LCM of 618 and 626
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