What is the Least Common Multiple of 96446 and 96450?
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 96446 and 96450 is 4651108350.
LCM(96446,96450) = 4651108350
Least Common Multiple of 96446 and 96450 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96446 and 96450, than apply into the LCM equation.
GCF(96446,96450) = 2
LCM(96446,96450) = ( 96446 × 96450) / 2
LCM(96446,96450) = 9302216700 / 2
LCM(96446,96450) = 4651108350
Least Common Multiple (LCM) of 96446 and 96450 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96446 and 96450. First we will calculate the prime factors of 96446 and 96450.
Prime Factorization of 96446
Prime factors of 96446 are 2, 7, 83. Prime factorization of 96446 in exponential form is:
96446 = 21 × 71 × 832
Prime Factorization of 96450
Prime factors of 96450 are 2, 3, 5, 643. Prime factorization of 96450 in exponential form is:
96450 = 21 × 31 × 52 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 96446 and 96450.
LCM(96446,96450) = 21 × 71 × 832 × 31 × 52 × 6431
LCM(96446,96450) = 4651108350
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