What is the Least Common Multiple of 96102 and 96107?
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 96102 and 96107 is 9236074914.
LCM(96102,96107) = 9236074914
Least Common Multiple of 96102 and 96107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96102 and 96107, than apply into the LCM equation.
GCF(96102,96107) = 1
LCM(96102,96107) = ( 96102 × 96107) / 1
LCM(96102,96107) = 9236074914 / 1
LCM(96102,96107) = 9236074914
Least Common Multiple (LCM) of 96102 and 96107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96102 and 96107. First we will calculate the prime factors of 96102 and 96107.
Prime Factorization of 96102
Prime factors of 96102 are 2, 3, 19, 281. Prime factorization of 96102 in exponential form is:
96102 = 21 × 32 × 191 × 2811
Prime Factorization of 96107
Prime factors of 96107 are 11, 8737. Prime factorization of 96107 in exponential form is:
96107 = 111 × 87371
Now multiplying the highest exponent prime factors to calculate the LCM of 96102 and 96107.
LCM(96102,96107) = 21 × 32 × 191 × 2811 × 111 × 87371
LCM(96102,96107) = 9236074914
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