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What is the Least Common Multiple of 79446 and 79453?

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 79446 and 79453 is 6312223038.

LCM(79446,79453) = 6312223038

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Least Common Multiple of 79446 and 79453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79446 and 79453, than apply into the LCM equation.

GCF(79446,79453) = 1
LCM(79446,79453) = ( 79446 × 79453) / 1
LCM(79446,79453) = 6312223038 / 1
LCM(79446,79453) = 6312223038

Least Common Multiple (LCM) of 79446 and 79453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79446 and 79453. First we will calculate the prime factors of 79446 and 79453.

Prime Factorization of 79446

Prime factors of 79446 are 2, 3, 13241. Prime factorization of 79446 in exponential form is:

79446 = 21 × 31 × 132411

Prime Factorization of 79453

Prime factors of 79453 are 11, 31, 233. Prime factorization of 79453 in exponential form is:

79453 = 111 × 311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 79446 and 79453.

LCM(79446,79453) = 21 × 31 × 132411 × 111 × 311 × 2331
LCM(79446,79453) = 6312223038