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What is the Least Common Multiple of 88076 and 88093?

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 88076 and 88093 is 7758879068.

LCM(88076,88093) = 7758879068

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Least Common Multiple of 88076 and 88093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88076 and 88093, than apply into the LCM equation.

GCF(88076,88093) = 1
LCM(88076,88093) = ( 88076 × 88093) / 1
LCM(88076,88093) = 7758879068 / 1
LCM(88076,88093) = 7758879068

Least Common Multiple (LCM) of 88076 and 88093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88076 and 88093. First we will calculate the prime factors of 88076 and 88093.

Prime Factorization of 88076

Prime factors of 88076 are 2, 97, 227. Prime factorization of 88076 in exponential form is:

88076 = 22 × 971 × 2271

Prime Factorization of 88093

Prime factors of 88093 are 88093. Prime factorization of 88093 in exponential form is:

88093 = 880931

Now multiplying the highest exponent prime factors to calculate the LCM of 88076 and 88093.

LCM(88076,88093) = 22 × 971 × 2271 × 880931
LCM(88076,88093) = 7758879068