What is the Least Common Multiple of 94148 and 94155?
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 94148 and 94155 is 8864504940.
LCM(94148,94155) = 8864504940
Least Common Multiple of 94148 and 94155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94148 and 94155, than apply into the LCM equation.
GCF(94148,94155) = 1
LCM(94148,94155) = ( 94148 × 94155) / 1
LCM(94148,94155) = 8864504940 / 1
LCM(94148,94155) = 8864504940
Least Common Multiple (LCM) of 94148 and 94155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94148 and 94155. First we will calculate the prime factors of 94148 and 94155.
Prime Factorization of 94148
Prime factors of 94148 are 2, 23537. Prime factorization of 94148 in exponential form is:
94148 = 22 × 235371
Prime Factorization of 94155
Prime factors of 94155 are 3, 5, 6277. Prime factorization of 94155 in exponential form is:
94155 = 31 × 51 × 62771
Now multiplying the highest exponent prime factors to calculate the LCM of 94148 and 94155.
LCM(94148,94155) = 22 × 235371 × 31 × 51 × 62771
LCM(94148,94155) = 8864504940
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