What is the Least Common Multiple of 614 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 614 and 630 is 193410.
LCM(614,630) = 193410
Least Common Multiple of 614 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 614 and 630, than apply into the LCM equation.
GCF(614,630) = 2
LCM(614,630) = ( 614 × 630) / 2
LCM(614,630) = 386820 / 2
LCM(614,630) = 193410
Least Common Multiple (LCM) of 614 and 630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 630. First we will calculate the prime factors of 614 and 630.
Prime Factorization of 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
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 614 and 630.
LCM(614,630) = 21 × 3071 × 32 × 51 × 71
LCM(614,630) = 193410
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