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What is the Least Common Multiple of 7350 and 7357?

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 7350 and 7357 is 7724850.

LCM(7350,7357) = 7724850

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Least Common Multiple of 7350 and 7357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7350 and 7357, than apply into the LCM equation.

GCF(7350,7357) = 7
LCM(7350,7357) = ( 7350 × 7357) / 7
LCM(7350,7357) = 54073950 / 7
LCM(7350,7357) = 7724850

Least Common Multiple (LCM) of 7350 and 7357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7350 and 7357. First we will calculate the prime factors of 7350 and 7357.

Prime Factorization of 7350

Prime factors of 7350 are 2, 3, 5, 7. Prime factorization of 7350 in exponential form is:

7350 = 21 × 31 × 52 × 72

Prime Factorization of 7357

Prime factors of 7357 are 7, 1051. Prime factorization of 7357 in exponential form is:

7357 = 71 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 7350 and 7357.

LCM(7350,7357) = 21 × 31 × 52 × 72 × 10511
LCM(7350,7357) = 7724850