What is the Least Common Multiple of 611 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 611 and 630 is 384930.
LCM(611,630) = 384930
Least Common Multiple of 611 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 611 and 630, than apply into the LCM equation.
GCF(611,630) = 1
LCM(611,630) = ( 611 × 630) / 1
LCM(611,630) = 384930 / 1
LCM(611,630) = 384930
Least Common Multiple (LCM) of 611 and 630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 630. First we will calculate the prime factors of 611 and 630.
Prime Factorization of 611
Prime factors of 611 are 13, 47. Prime factorization of 611 in exponential form is:
611 = 131 × 471
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 611 and 630.
LCM(611,630) = 131 × 471 × 21 × 32 × 51 × 71
LCM(611,630) = 384930
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Related Least Common Multiples of 630
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