What is the Least Common Multiple of 655 and 674?
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 655 and 674 is 441470.
LCM(655,674) = 441470
Least Common Multiple of 655 and 674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 674, than apply into the LCM equation.
GCF(655,674) = 1
LCM(655,674) = ( 655 × 674) / 1
LCM(655,674) = 441470 / 1
LCM(655,674) = 441470
Least Common Multiple (LCM) of 655 and 674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 674. First we will calculate the prime factors of 655 and 674.
Prime Factorization of 655
Prime factors of 655 are 5, 131. Prime factorization of 655 in exponential form is:
655 = 51 × 1311
Prime Factorization of 674
Prime factors of 674 are 2, 337. Prime factorization of 674 in exponential form is:
674 = 21 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 674.
LCM(655,674) = 51 × 1311 × 21 × 3371
LCM(655,674) = 441470
Related Least Common Multiples of 655
- LCM of 655 and 659
- LCM of 655 and 660
- LCM of 655 and 661
- LCM of 655 and 662
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- LCM of 655 and 664
- LCM of 655 and 665
- LCM of 655 and 666
- LCM of 655 and 667
- LCM of 655 and 668
- LCM of 655 and 669
- LCM of 655 and 670
- LCM of 655 and 671
- LCM of 655 and 672
- LCM of 655 and 673
- LCM of 655 and 674
- LCM of 655 and 675
Related Least Common Multiples of 674
- LCM of 674 and 678
- LCM of 674 and 679
- LCM of 674 and 680
- LCM of 674 and 681
- LCM of 674 and 682
- LCM of 674 and 683
- LCM of 674 and 684
- LCM of 674 and 685
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- LCM of 674 and 687
- LCM of 674 and 688
- LCM of 674 and 689
- LCM of 674 and 690
- LCM of 674 and 691
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