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What is the Least Common Multiple of 79310 and 79316?

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 79310 and 79316 is 3145275980.

LCM(79310,79316) = 3145275980

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Least Common Multiple of 79310 and 79316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79310 and 79316, than apply into the LCM equation.

GCF(79310,79316) = 2
LCM(79310,79316) = ( 79310 × 79316) / 2
LCM(79310,79316) = 6290551960 / 2
LCM(79310,79316) = 3145275980

Least Common Multiple (LCM) of 79310 and 79316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79310 and 79316. First we will calculate the prime factors of 79310 and 79316.

Prime Factorization of 79310

Prime factors of 79310 are 2, 5, 7, 11, 103. Prime factorization of 79310 in exponential form is:

79310 = 21 × 51 × 71 × 111 × 1031

Prime Factorization of 79316

Prime factors of 79316 are 2, 79, 251. Prime factorization of 79316 in exponential form is:

79316 = 22 × 791 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 79310 and 79316.

LCM(79310,79316) = 22 × 51 × 71 × 111 × 1031 × 791 × 2511
LCM(79310,79316) = 3145275980