What is the Least Common Multiple of 94941 and 94961?
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 94941 and 94961 is 9015692301.
LCM(94941,94961) = 9015692301
Least Common Multiple of 94941 and 94961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94941 and 94961, than apply into the LCM equation.
GCF(94941,94961) = 1
LCM(94941,94961) = ( 94941 × 94961) / 1
LCM(94941,94961) = 9015692301 / 1
LCM(94941,94961) = 9015692301
Least Common Multiple (LCM) of 94941 and 94961 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94941 and 94961. First we will calculate the prime factors of 94941 and 94961.
Prime Factorization of 94941
Prime factors of 94941 are 3, 7, 11, 137. Prime factorization of 94941 in exponential form is:
94941 = 32 × 71 × 111 × 1371
Prime Factorization of 94961
Prime factors of 94961 are 94961. Prime factorization of 94961 in exponential form is:
94961 = 949611
Now multiplying the highest exponent prime factors to calculate the LCM of 94941 and 94961.
LCM(94941,94961) = 32 × 71 × 111 × 1371 × 949611
LCM(94941,94961) = 9015692301
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