What is the Least Common Multiple of 630 and 635?
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 635 is 80010.
LCM(630,635) = 80010
Least Common Multiple of 630 and 635 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 635, than apply into the LCM equation.
GCF(630,635) = 5
LCM(630,635) = ( 630 × 635) / 5
LCM(630,635) = 400050 / 5
LCM(630,635) = 80010
Least Common Multiple (LCM) of 630 and 635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 635. First we will calculate the prime factors of 630 and 635.
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 635
Prime factors of 635 are 5, 127. Prime factorization of 635 in exponential form is:
635 = 51 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 635.
LCM(630,635) = 21 × 32 × 51 × 71 × 1271
LCM(630,635) = 80010
Related Least Common Multiples of 630
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- LCM of 630 and 649
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Related Least Common Multiples of 635
- LCM of 635 and 639
- LCM of 635 and 640
- LCM of 635 and 641
- LCM of 635 and 642
- LCM of 635 and 643
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- LCM of 635 and 645
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