What is the Least Common Multiple of 10132 and 10136?
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 10132 and 10136 is 25674488.
LCM(10132,10136) = 25674488
Least Common Multiple of 10132 and 10136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10132 and 10136, than apply into the LCM equation.
GCF(10132,10136) = 4
LCM(10132,10136) = ( 10132 × 10136) / 4
LCM(10132,10136) = 102697952 / 4
LCM(10132,10136) = 25674488
Least Common Multiple (LCM) of 10132 and 10136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10132 and 10136. First we will calculate the prime factors of 10132 and 10136.
Prime Factorization of 10132
Prime factors of 10132 are 2, 17, 149. Prime factorization of 10132 in exponential form is:
10132 = 22 × 171 × 1491
Prime Factorization of 10136
Prime factors of 10136 are 2, 7, 181. Prime factorization of 10136 in exponential form is:
10136 = 23 × 71 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 10132 and 10136.
LCM(10132,10136) = 23 × 171 × 1491 × 71 × 1811
LCM(10132,10136) = 25674488
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Related Least Common Multiples of 10136
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