What is the Least Common Multiple of 91927 and 91941?
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 91941 is 8451860307.
LCM(91927,91941) = 8451860307
Least Common Multiple of 91927 and 91941 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 91941, than apply into the LCM equation.
GCF(91927,91941) = 1
LCM(91927,91941) = ( 91927 × 91941) / 1
LCM(91927,91941) = 8451860307 / 1
LCM(91927,91941) = 8451860307
Least Common Multiple (LCM) of 91927 and 91941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91927 and 91941. First we will calculate the prime factors of 91927 and 91941.
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 91941
Prime factors of 91941 are 3, 19, 1613. Prime factorization of 91941 in exponential form is:
91941 = 31 × 191 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 91927 and 91941.
LCM(91927,91941) = 111 × 611 × 1371 × 31 × 191 × 16131
LCM(91927,91941) = 8451860307
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