What is the Least Common Multiple of 99 and 105?
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 99 and 105 is 3465.
LCM(99,105) = 3465
Least Common Multiple of 99 and 105 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99 and 105, than apply into the LCM equation.
GCF(99,105) = 3
LCM(99,105) = ( 99 × 105) / 3
LCM(99,105) = 10395 / 3
LCM(99,105) = 3465
Least Common Multiple (LCM) of 99 and 105 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99 and 105. First we will calculate the prime factors of 99 and 105.
Prime Factorization of 99
Prime factors of 99 are 3, 11. Prime factorization of 99 in exponential form is:
99 = 32 × 111
Prime Factorization of 105
Prime factors of 105 are 3, 5, 7. Prime factorization of 105 in exponential form is:
105 = 31 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 99 and 105.
LCM(99,105) = 32 × 111 × 51 × 71
LCM(99,105) = 3465
Related Least Common Multiples of 99
- LCM of 99 and 103
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- LCM of 99 and 105
- LCM of 99 and 106
- LCM of 99 and 107
- LCM of 99 and 108
- LCM of 99 and 109
- LCM of 99 and 110
- LCM of 99 and 111
- LCM of 99 and 112
- LCM of 99 and 113
- LCM of 99 and 114
- LCM of 99 and 115
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- LCM of 99 and 117
- LCM of 99 and 118
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Related Least Common Multiples of 105
- LCM of 105 and 109
- LCM of 105 and 110
- LCM of 105 and 111
- LCM of 105 and 112
- LCM of 105 and 113
- LCM of 105 and 114
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- LCM of 105 and 116
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- LCM of 105 and 118
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- LCM of 105 and 120
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- LCM of 105 and 123
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