What is the Least Common Multiple of 94 and 108?
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 94 and 108 is 5076.
LCM(94,108) = 5076
Least Common Multiple of 94 and 108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94 and 108, than apply into the LCM equation.
GCF(94,108) = 2
LCM(94,108) = ( 94 × 108) / 2
LCM(94,108) = 10152 / 2
LCM(94,108) = 5076
Least Common Multiple (LCM) of 94 and 108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94 and 108. First we will calculate the prime factors of 94 and 108.
Prime Factorization of 94
Prime factors of 94 are 2, 47. Prime factorization of 94 in exponential form is:
94 = 21 × 471
Prime Factorization of 108
Prime factors of 108 are 2, 3. Prime factorization of 108 in exponential form is:
108 = 22 × 33
Now multiplying the highest exponent prime factors to calculate the LCM of 94 and 108.
LCM(94,108) = 22 × 471 × 33
LCM(94,108) = 5076
Related Least Common Multiples of 94
- LCM of 94 and 98
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Related Least Common Multiples of 108
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