What is the Least Common Multiple of 96951 and 96960?
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 96951 and 96960 is 3133456320.
LCM(96951,96960) = 3133456320
Least Common Multiple of 96951 and 96960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96951 and 96960, than apply into the LCM equation.
GCF(96951,96960) = 3
LCM(96951,96960) = ( 96951 × 96960) / 3
LCM(96951,96960) = 9400368960 / 3
LCM(96951,96960) = 3133456320
Least Common Multiple (LCM) of 96951 and 96960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96951 and 96960. First we will calculate the prime factors of 96951 and 96960.
Prime Factorization of 96951
Prime factors of 96951 are 3, 17, 1901. Prime factorization of 96951 in exponential form is:
96951 = 31 × 171 × 19011
Prime Factorization of 96960
Prime factors of 96960 are 2, 3, 5, 101. Prime factorization of 96960 in exponential form is:
96960 = 26 × 31 × 51 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 96951 and 96960.
LCM(96951,96960) = 31 × 171 × 19011 × 26 × 51 × 1011
LCM(96951,96960) = 3133456320
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