What is the Least Common Multiple of 88078 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 88078 and 88091 is 7758879098.
LCM(88078,88091) = 7758879098
Least Common Multiple of 88078 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 88078 and 88091, than apply into the LCM equation.
GCF(88078,88091) = 1
LCM(88078,88091) = ( 88078 × 88091) / 1
LCM(88078,88091) = 7758879098 / 1
LCM(88078,88091) = 7758879098
Least Common Multiple (LCM) of 88078 and 88091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88078 and 88091. First we will calculate the prime factors of 88078 and 88091.
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 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 88078 and 88091.
LCM(88078,88091) = 21 × 471 × 9371 × 1371 × 6431
LCM(88078,88091) = 7758879098
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