What is the Least Common Multiple of 622 and 630?
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 622 and 630 is 195930.
LCM(622,630) = 195930
Least Common Multiple of 622 and 630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 630, than apply into the LCM equation.
GCF(622,630) = 2
LCM(622,630) = ( 622 × 630) / 2
LCM(622,630) = 391860 / 2
LCM(622,630) = 195930
Least Common Multiple (LCM) of 622 and 630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 630. First we will calculate the prime factors of 622 and 630.
Prime Factorization of 622
Prime factors of 622 are 2, 311. Prime factorization of 622 in exponential form is:
622 = 21 × 3111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 630.
LCM(622,630) = 21 × 3111 × 32 × 51 × 71
LCM(622,630) = 195930
Related Least Common Multiples of 622
- LCM of 622 and 626
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Related Least Common Multiples of 630
- LCM of 630 and 634
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