What is the Least Common Multiple of 614 and 621?
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 621 is 381294.
LCM(614,621) = 381294
Least Common Multiple of 614 and 621 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 621, than apply into the LCM equation.
GCF(614,621) = 1
LCM(614,621) = ( 614 × 621) / 1
LCM(614,621) = 381294 / 1
LCM(614,621) = 381294
Least Common Multiple (LCM) of 614 and 621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 621. First we will calculate the prime factors of 614 and 621.
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 621
Prime factors of 621 are 3, 23. Prime factorization of 621 in exponential form is:
621 = 33 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 621.
LCM(614,621) = 21 × 3071 × 33 × 231
LCM(614,621) = 381294
Related Least Common Multiples of 614
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- LCM of 614 and 621
- LCM of 614 and 622
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- LCM of 614 and 624
- LCM of 614 and 625
- LCM of 614 and 626
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- LCM of 614 and 630
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Related Least Common Multiples of 621
- LCM of 621 and 625
- LCM of 621 and 626
- LCM of 621 and 627
- LCM of 621 and 628
- LCM of 621 and 629
- LCM of 621 and 630
- LCM of 621 and 631
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- LCM of 621 and 633
- LCM of 621 and 634
- LCM of 621 and 635
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- LCM of 621 and 638
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