What is the Least Common Multiple of 65696 and 65700?
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 65696 and 65700 is 1079056800.
LCM(65696,65700) = 1079056800
Least Common Multiple of 65696 and 65700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65696 and 65700, than apply into the LCM equation.
GCF(65696,65700) = 4
LCM(65696,65700) = ( 65696 × 65700) / 4
LCM(65696,65700) = 4316227200 / 4
LCM(65696,65700) = 1079056800
Least Common Multiple (LCM) of 65696 and 65700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65696 and 65700. First we will calculate the prime factors of 65696 and 65700.
Prime Factorization of 65696
Prime factors of 65696 are 2, 2053. Prime factorization of 65696 in exponential form is:
65696 = 25 × 20531
Prime Factorization of 65700
Prime factors of 65700 are 2, 3, 5, 73. Prime factorization of 65700 in exponential form is:
65700 = 22 × 32 × 52 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 65696 and 65700.
LCM(65696,65700) = 25 × 20531 × 32 × 52 × 731
LCM(65696,65700) = 1079056800
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