What is the Least Common Multiple of 627 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 627 and 632 is 396264.
LCM(627,632) = 396264
Least Common Multiple of 627 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 627 and 632, than apply into the LCM equation.
GCF(627,632) = 1
LCM(627,632) = ( 627 × 632) / 1
LCM(627,632) = 396264 / 1
LCM(627,632) = 396264
Least Common Multiple (LCM) of 627 and 632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 632. First we will calculate the prime factors of 627 and 632.
Prime Factorization of 627
Prime factors of 627 are 3, 11, 19. Prime factorization of 627 in exponential form is:
627 = 31 × 111 × 191
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 627 and 632.
LCM(627,632) = 31 × 111 × 191 × 23 × 791
LCM(627,632) = 396264
Related Least Common Multiples of 627
- LCM of 627 and 631
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- LCM of 627 and 633
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- LCM of 627 and 637
- LCM of 627 and 638
- LCM of 627 and 639
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- LCM of 627 and 643
- LCM of 627 and 644
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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
- LCM of 632 and 650
- LCM of 632 and 651
- LCM of 632 and 652