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What is the Least Common Multiple of 79030 and 79037?

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 79030 and 79037 is 892327730.

LCM(79030,79037) = 892327730

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Least Common Multiple of 79030 and 79037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79030 and 79037, than apply into the LCM equation.

GCF(79030,79037) = 7
LCM(79030,79037) = ( 79030 × 79037) / 7
LCM(79030,79037) = 6246294110 / 7
LCM(79030,79037) = 892327730

Least Common Multiple (LCM) of 79030 and 79037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79030 and 79037. First we will calculate the prime factors of 79030 and 79037.

Prime Factorization of 79030

Prime factors of 79030 are 2, 5, 7, 1129. Prime factorization of 79030 in exponential form is:

79030 = 21 × 51 × 71 × 11291

Prime Factorization of 79037

Prime factors of 79037 are 7, 1613. Prime factorization of 79037 in exponential form is:

79037 = 72 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 79030 and 79037.

LCM(79030,79037) = 21 × 51 × 72 × 11291 × 16131
LCM(79030,79037) = 892327730