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What is the Least Common Multiple of 7620 and 7638?

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 7620 and 7638 is 9700260.

LCM(7620,7638) = 9700260

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Least Common Multiple of 7620 and 7638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7620 and 7638, than apply into the LCM equation.

GCF(7620,7638) = 6
LCM(7620,7638) = ( 7620 × 7638) / 6
LCM(7620,7638) = 58201560 / 6
LCM(7620,7638) = 9700260

Least Common Multiple (LCM) of 7620 and 7638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7620 and 7638. First we will calculate the prime factors of 7620 and 7638.

Prime Factorization of 7620

Prime factors of 7620 are 2, 3, 5, 127. Prime factorization of 7620 in exponential form is:

7620 = 22 × 31 × 51 × 1271

Prime Factorization of 7638

Prime factors of 7638 are 2, 3, 19, 67. Prime factorization of 7638 in exponential form is:

7638 = 21 × 31 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7620 and 7638.

LCM(7620,7638) = 22 × 31 × 51 × 1271 × 191 × 671
LCM(7620,7638) = 9700260