What is the Least Common Multiple of 94107 and 94121?
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 94107 and 94121 is 8857444947.
LCM(94107,94121) = 8857444947
Least Common Multiple of 94107 and 94121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94107 and 94121, than apply into the LCM equation.
GCF(94107,94121) = 1
LCM(94107,94121) = ( 94107 × 94121) / 1
LCM(94107,94121) = 8857444947 / 1
LCM(94107,94121) = 8857444947
Least Common Multiple (LCM) of 94107 and 94121 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94107 and 94121. First we will calculate the prime factors of 94107 and 94121.
Prime Factorization of 94107
Prime factors of 94107 are 3, 13, 19, 127. Prime factorization of 94107 in exponential form is:
94107 = 31 × 131 × 191 × 1271
Prime Factorization of 94121
Prime factors of 94121 are 94121. Prime factorization of 94121 in exponential form is:
94121 = 941211
Now multiplying the highest exponent prime factors to calculate the LCM of 94107 and 94121.
LCM(94107,94121) = 31 × 131 × 191 × 1271 × 941211
LCM(94107,94121) = 8857444947
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