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What is the Least Common Multiple of 7683 and 7690?

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 7683 and 7690 is 59082270.

LCM(7683,7690) = 59082270

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Least Common Multiple of 7683 and 7690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7683 and 7690, than apply into the LCM equation.

GCF(7683,7690) = 1
LCM(7683,7690) = ( 7683 × 7690) / 1
LCM(7683,7690) = 59082270 / 1
LCM(7683,7690) = 59082270

Least Common Multiple (LCM) of 7683 and 7690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7683 and 7690. First we will calculate the prime factors of 7683 and 7690.

Prime Factorization of 7683

Prime factors of 7683 are 3, 13, 197. Prime factorization of 7683 in exponential form is:

7683 = 31 × 131 × 1971

Prime Factorization of 7690

Prime factors of 7690 are 2, 5, 769. Prime factorization of 7690 in exponential form is:

7690 = 21 × 51 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 7683 and 7690.

LCM(7683,7690) = 31 × 131 × 1971 × 21 × 51 × 7691
LCM(7683,7690) = 59082270