What is the Least Common Multiple of 91927 and 91933?
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 91927 and 91933 is 8451124891.
LCM(91927,91933) = 8451124891
Least Common Multiple of 91927 and 91933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91927 and 91933, than apply into the LCM equation.
GCF(91927,91933) = 1
LCM(91927,91933) = ( 91927 × 91933) / 1
LCM(91927,91933) = 8451124891 / 1
LCM(91927,91933) = 8451124891
Least Common Multiple (LCM) of 91927 and 91933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91927 and 91933. First we will calculate the prime factors of 91927 and 91933.
Prime Factorization of 91927
Prime factors of 91927 are 11, 61, 137. Prime factorization of 91927 in exponential form is:
91927 = 111 × 611 × 1371
Prime Factorization of 91933
Prime factors of 91933 are 149, 617. Prime factorization of 91933 in exponential form is:
91933 = 1491 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 91927 and 91933.
LCM(91927,91933) = 111 × 611 × 1371 × 1491 × 6171
LCM(91927,91933) = 8451124891
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