What is the Least Common Multiple of 609 and 614?
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 609 and 614 is 373926.
LCM(609,614) = 373926
Least Common Multiple of 609 and 614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 609 and 614, than apply into the LCM equation.
GCF(609,614) = 1
LCM(609,614) = ( 609 × 614) / 1
LCM(609,614) = 373926 / 1
LCM(609,614) = 373926
Least Common Multiple (LCM) of 609 and 614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 614. First we will calculate the prime factors of 609 and 614.
Prime Factorization of 609
Prime factors of 609 are 3, 7, 29. Prime factorization of 609 in exponential form is:
609 = 31 × 71 × 291
Prime Factorization of 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 609 and 614.
LCM(609,614) = 31 × 71 × 291 × 21 × 3071
LCM(609,614) = 373926
Related Least Common Multiples of 609
- LCM of 609 and 613
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Related Least Common Multiples of 614
- LCM of 614 and 618
- LCM of 614 and 619
- LCM of 614 and 620
- LCM of 614 and 621
- LCM of 614 and 622
- LCM of 614 and 623
- LCM of 614 and 624
- LCM of 614 and 625
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- LCM of 614 and 627
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- LCM of 614 and 629
- LCM of 614 and 630
- LCM of 614 and 631
- LCM of 614 and 632
- LCM of 614 and 633
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