What is the Least Common Multiple of 614 and 622?
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 622 is 190954.
LCM(614,622) = 190954
Least Common Multiple of 614 and 622 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 622, than apply into the LCM equation.
GCF(614,622) = 2
LCM(614,622) = ( 614 × 622) / 2
LCM(614,622) = 381908 / 2
LCM(614,622) = 190954
Least Common Multiple (LCM) of 614 and 622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 622. First we will calculate the prime factors of 614 and 622.
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 622
Prime factors of 622 are 2, 311. Prime factorization of 622 in exponential form is:
622 = 21 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 622.
LCM(614,622) = 21 × 3071 × 3111
LCM(614,622) = 190954
Related Least Common Multiples of 614
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Related Least Common Multiples of 622
- LCM of 622 and 626
- LCM of 622 and 627
- LCM of 622 and 628
- LCM of 622 and 629
- LCM of 622 and 630
- LCM of 622 and 631
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