What is the Least Common Multiple of 70087 and 70091?
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 70087 and 70091 is 4912467917.
LCM(70087,70091) = 4912467917
Least Common Multiple of 70087 and 70091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70087 and 70091, than apply into the LCM equation.
GCF(70087,70091) = 1
LCM(70087,70091) = ( 70087 × 70091) / 1
LCM(70087,70091) = 4912467917 / 1
LCM(70087,70091) = 4912467917
Least Common Multiple (LCM) of 70087 and 70091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70087 and 70091. First we will calculate the prime factors of 70087 and 70091.
Prime Factorization of 70087
Prime factors of 70087 are 109, 643. Prime factorization of 70087 in exponential form is:
70087 = 1091 × 6431
Prime Factorization of 70091
Prime factors of 70091 are 7, 17, 19, 31. Prime factorization of 70091 in exponential form is:
70091 = 71 × 171 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 70087 and 70091.
LCM(70087,70091) = 1091 × 6431 × 71 × 171 × 191 × 311
LCM(70087,70091) = 4912467917
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