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What is the Least Common Multiple of 80358 and 80377?

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 80358 and 80377 is 6458934966.

LCM(80358,80377) = 6458934966

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Least Common Multiple of 80358 and 80377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80358 and 80377, than apply into the LCM equation.

GCF(80358,80377) = 1
LCM(80358,80377) = ( 80358 × 80377) / 1
LCM(80358,80377) = 6458934966 / 1
LCM(80358,80377) = 6458934966

Least Common Multiple (LCM) of 80358 and 80377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80358 and 80377. First we will calculate the prime factors of 80358 and 80377.

Prime Factorization of 80358

Prime factors of 80358 are 2, 3, 59, 227. Prime factorization of 80358 in exponential form is:

80358 = 21 × 31 × 591 × 2271

Prime Factorization of 80377

Prime factors of 80377 are 11, 7307. Prime factorization of 80377 in exponential form is:

80377 = 111 × 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 80358 and 80377.

LCM(80358,80377) = 21 × 31 × 591 × 2271 × 111 × 73071
LCM(80358,80377) = 6458934966