What is the Least Common Multiple of 623 and 632?
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 623 and 632 is 393736.
LCM(623,632) = 393736
Least Common Multiple of 623 and 632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 623 and 632, than apply into the LCM equation.
GCF(623,632) = 1
LCM(623,632) = ( 623 × 632) / 1
LCM(623,632) = 393736 / 1
LCM(623,632) = 393736
Least Common Multiple (LCM) of 623 and 632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 632. First we will calculate the prime factors of 623 and 632.
Prime Factorization of 623
Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:
623 = 71 × 891
Prime Factorization of 632
Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:
632 = 23 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 632.
LCM(623,632) = 71 × 891 × 23 × 791
LCM(623,632) = 393736
Related Least Common Multiples of 623
- LCM of 623 and 627
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- LCM of 623 and 632
- LCM of 623 and 633
- LCM of 623 and 634
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Related Least Common Multiples of 632
- LCM of 632 and 636
- LCM of 632 and 637
- LCM of 632 and 638
- LCM of 632 and 639
- LCM of 632 and 640
- LCM of 632 and 641
- LCM of 632 and 642
- LCM of 632 and 643
- LCM of 632 and 644
- LCM of 632 and 645
- LCM of 632 and 646
- LCM of 632 and 647
- LCM of 632 and 648
- LCM of 632 and 649
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- LCM of 632 and 652