What is the Least Common Multiple of 630 and 636?
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 630 and 636 is 66780.
LCM(630,636) = 66780
Least Common Multiple of 630 and 636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 636, than apply into the LCM equation.
GCF(630,636) = 6
LCM(630,636) = ( 630 × 636) / 6
LCM(630,636) = 400680 / 6
LCM(630,636) = 66780
Least Common Multiple (LCM) of 630 and 636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 636. First we will calculate the prime factors of 630 and 636.
Prime Factorization of 630
Prime factors of 630 are 2, 3, 5, 7. Prime factorization of 630 in exponential form is:
630 = 21 × 32 × 51 × 71
Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 636.
LCM(630,636) = 22 × 32 × 51 × 71 × 531
LCM(630,636) = 66780
Related Least Common Multiples of 630
- LCM of 630 and 634
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- LCM of 630 and 636
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- LCM of 630 and 638
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Related Least Common Multiples of 636
- LCM of 636 and 640
- LCM of 636 and 641
- LCM of 636 and 642
- LCM of 636 and 643
- LCM of 636 and 644
- LCM of 636 and 645
- LCM of 636 and 646
- LCM of 636 and 647
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- LCM of 636 and 649
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- LCM of 636 and 651
- LCM of 636 and 652
- LCM of 636 and 653
- LCM of 636 and 654
- LCM of 636 and 655
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