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What is the Least Common Multiple of 7650 and 7657?

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 7650 and 7657 is 58576050.

LCM(7650,7657) = 58576050

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Least Common Multiple of 7650 and 7657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7650 and 7657, than apply into the LCM equation.

GCF(7650,7657) = 1
LCM(7650,7657) = ( 7650 × 7657) / 1
LCM(7650,7657) = 58576050 / 1
LCM(7650,7657) = 58576050

Least Common Multiple (LCM) of 7650 and 7657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7650 and 7657. First we will calculate the prime factors of 7650 and 7657.

Prime Factorization of 7650

Prime factors of 7650 are 2, 3, 5, 17. Prime factorization of 7650 in exponential form is:

7650 = 21 × 32 × 52 × 171

Prime Factorization of 7657

Prime factors of 7657 are 13, 19, 31. Prime factorization of 7657 in exponential form is:

7657 = 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7650 and 7657.

LCM(7650,7657) = 21 × 32 × 52 × 171 × 131 × 191 × 311
LCM(7650,7657) = 58576050