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What is the Least Common Multiple of 88087 and 88091?

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 88087 and 88091 is 7759671917.

LCM(88087,88091) = 7759671917

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Least Common Multiple of 88087 and 88091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88087 and 88091, than apply into the LCM equation.

GCF(88087,88091) = 1
LCM(88087,88091) = ( 88087 × 88091) / 1
LCM(88087,88091) = 7759671917 / 1
LCM(88087,88091) = 7759671917

Least Common Multiple (LCM) of 88087 and 88091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88087 and 88091. First we will calculate the prime factors of 88087 and 88091.

Prime Factorization of 88087

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

88087 = 591 × 14931

Prime Factorization of 88091

Prime factors of 88091 are 137, 643. Prime factorization of 88091 in exponential form is:

88091 = 1371 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 88087 and 88091.

LCM(88087,88091) = 591 × 14931 × 1371 × 6431
LCM(88087,88091) = 7759671917