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What is the Least Common Multiple of 88655 and 88670?

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 88655 and 88670 is 1572207770.

LCM(88655,88670) = 1572207770

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Least Common Multiple of 88655 and 88670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88655 and 88670, than apply into the LCM equation.

GCF(88655,88670) = 5
LCM(88655,88670) = ( 88655 × 88670) / 5
LCM(88655,88670) = 7861038850 / 5
LCM(88655,88670) = 1572207770

Least Common Multiple (LCM) of 88655 and 88670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88655 and 88670. First we will calculate the prime factors of 88655 and 88670.

Prime Factorization of 88655

Prime factors of 88655 are 5, 7, 17, 149. Prime factorization of 88655 in exponential form is:

88655 = 51 × 71 × 171 × 1491

Prime Factorization of 88670

Prime factors of 88670 are 2, 5, 8867. Prime factorization of 88670 in exponential form is:

88670 = 21 × 51 × 88671

Now multiplying the highest exponent prime factors to calculate the LCM of 88655 and 88670.

LCM(88655,88670) = 51 × 71 × 171 × 1491 × 21 × 88671
LCM(88655,88670) = 1572207770