What is the Least Common Multiple of 91421 and 91437?
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 91421 and 91437 is 8359261977.
LCM(91421,91437) = 8359261977
Least Common Multiple of 91421 and 91437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91421 and 91437, than apply into the LCM equation.
GCF(91421,91437) = 1
LCM(91421,91437) = ( 91421 × 91437) / 1
LCM(91421,91437) = 8359261977 / 1
LCM(91421,91437) = 8359261977
Least Common Multiple (LCM) of 91421 and 91437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91421 and 91437. First we will calculate the prime factors of 91421 and 91437.
Prime Factorization of 91421
Prime factors of 91421 are 11, 8311. Prime factorization of 91421 in exponential form is:
91421 = 111 × 83111
Prime Factorization of 91437
Prime factors of 91437 are 3, 29, 1051. Prime factorization of 91437 in exponential form is:
91437 = 31 × 291 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 91421 and 91437.
LCM(91421,91437) = 111 × 83111 × 31 × 291 × 10511
LCM(91421,91437) = 8359261977
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