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What is the Least Common Multiple of 88049 and 88062?

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 88049 and 88062 is 596443926.

LCM(88049,88062) = 596443926

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Least Common Multiple of 88049 and 88062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88049 and 88062, than apply into the LCM equation.

GCF(88049,88062) = 13
LCM(88049,88062) = ( 88049 × 88062) / 13
LCM(88049,88062) = 7753771038 / 13
LCM(88049,88062) = 596443926

Least Common Multiple (LCM) of 88049 and 88062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88049 and 88062. First we will calculate the prime factors of 88049 and 88062.

Prime Factorization of 88049

Prime factors of 88049 are 13, 521. Prime factorization of 88049 in exponential form is:

88049 = 132 × 5211

Prime Factorization of 88062

Prime factors of 88062 are 2, 3, 13, 1129. Prime factorization of 88062 in exponential form is:

88062 = 21 × 31 × 131 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 88049 and 88062.

LCM(88049,88062) = 132 × 5211 × 21 × 31 × 11291
LCM(88049,88062) = 596443926