What is the Least Common Multiple of 630 and 638?
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 638 is 200970.
LCM(630,638) = 200970
Least Common Multiple of 630 and 638 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 638, than apply into the LCM equation.
GCF(630,638) = 2
LCM(630,638) = ( 630 × 638) / 2
LCM(630,638) = 401940 / 2
LCM(630,638) = 200970
Least Common Multiple (LCM) of 630 and 638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 638. First we will calculate the prime factors of 630 and 638.
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 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 638.
LCM(630,638) = 21 × 32 × 51 × 71 × 111 × 291
LCM(630,638) = 200970
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Related Least Common Multiples of 638
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