What is the Least Common Multiple of 94194 and 94207?
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 94194 and 94207 is 8873734158.
LCM(94194,94207) = 8873734158
Least Common Multiple of 94194 and 94207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94194 and 94207, than apply into the LCM equation.
GCF(94194,94207) = 1
LCM(94194,94207) = ( 94194 × 94207) / 1
LCM(94194,94207) = 8873734158 / 1
LCM(94194,94207) = 8873734158
Least Common Multiple (LCM) of 94194 and 94207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94194 and 94207. First we will calculate the prime factors of 94194 and 94207.
Prime Factorization of 94194
Prime factors of 94194 are 2, 3, 5233. Prime factorization of 94194 in exponential form is:
94194 = 21 × 32 × 52331
Prime Factorization of 94207
Prime factors of 94207 are 94207. Prime factorization of 94207 in exponential form is:
94207 = 942071
Now multiplying the highest exponent prime factors to calculate the LCM of 94194 and 94207.
LCM(94194,94207) = 21 × 32 × 52331 × 942071
LCM(94194,94207) = 8873734158
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