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What is the Least Common Multiple of 88078 and 88087?

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 88078 and 88087 is 7758526786.

LCM(88078,88087) = 7758526786

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Least Common Multiple of 88078 and 88087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88078 and 88087, than apply into the LCM equation.

GCF(88078,88087) = 1
LCM(88078,88087) = ( 88078 × 88087) / 1
LCM(88078,88087) = 7758526786 / 1
LCM(88078,88087) = 7758526786

Least Common Multiple (LCM) of 88078 and 88087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88078 and 88087. First we will calculate the prime factors of 88078 and 88087.

Prime Factorization of 88078

Prime factors of 88078 are 2, 47, 937. Prime factorization of 88078 in exponential form is:

88078 = 21 × 471 × 9371

Prime Factorization of 88087

Prime factors of 88087 are 59, 1493. Prime factorization of 88087 in exponential form is:

88087 = 591 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 88078 and 88087.

LCM(88078,88087) = 21 × 471 × 9371 × 591 × 14931
LCM(88078,88087) = 7758526786