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What is the Least Common Multiple of 79196 and 79203?

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 79196 and 79203 is 6272560788.

LCM(79196,79203) = 6272560788

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Least Common Multiple of 79196 and 79203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79196 and 79203, than apply into the LCM equation.

GCF(79196,79203) = 1
LCM(79196,79203) = ( 79196 × 79203) / 1
LCM(79196,79203) = 6272560788 / 1
LCM(79196,79203) = 6272560788

Least Common Multiple (LCM) of 79196 and 79203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79196 and 79203. First we will calculate the prime factors of 79196 and 79203.

Prime Factorization of 79196

Prime factors of 79196 are 2, 13, 1523. Prime factorization of 79196 in exponential form is:

79196 = 22 × 131 × 15231

Prime Factorization of 79203

Prime factors of 79203 are 3, 17, 1553. Prime factorization of 79203 in exponential form is:

79203 = 31 × 171 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 79196 and 79203.

LCM(79196,79203) = 22 × 131 × 15231 × 31 × 171 × 15531
LCM(79196,79203) = 6272560788