What is the Least Common Multiple of 70187 and 70198?
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 70187 and 70198 is 4926987026.
LCM(70187,70198) = 4926987026
Least Common Multiple of 70187 and 70198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70187 and 70198, than apply into the LCM equation.
GCF(70187,70198) = 1
LCM(70187,70198) = ( 70187 × 70198) / 1
LCM(70187,70198) = 4926987026 / 1
LCM(70187,70198) = 4926987026
Least Common Multiple (LCM) of 70187 and 70198 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70187 and 70198. First we will calculate the prime factors of 70187 and 70198.
Prime Factorization of 70187
Prime factors of 70187 are 13, 5399. Prime factorization of 70187 in exponential form is:
70187 = 131 × 53991
Prime Factorization of 70198
Prime factors of 70198 are 2, 35099. Prime factorization of 70198 in exponential form is:
70198 = 21 × 350991
Now multiplying the highest exponent prime factors to calculate the LCM of 70187 and 70198.
LCM(70187,70198) = 131 × 53991 × 21 × 350991
LCM(70187,70198) = 4926987026
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