What is the Least Common Multiple of 95059 and 95070?
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 95059 and 95070 is 9037259130.
LCM(95059,95070) = 9037259130
Least Common Multiple of 95059 and 95070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95059 and 95070, than apply into the LCM equation.
GCF(95059,95070) = 1
LCM(95059,95070) = ( 95059 × 95070) / 1
LCM(95059,95070) = 9037259130 / 1
LCM(95059,95070) = 9037259130
Least Common Multiple (LCM) of 95059 and 95070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95059 and 95070. First we will calculate the prime factors of 95059 and 95070.
Prime Factorization of 95059
Prime factors of 95059 are 23, 4133. Prime factorization of 95059 in exponential form is:
95059 = 231 × 41331
Prime Factorization of 95070
Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:
95070 = 21 × 31 × 51 × 31691
Now multiplying the highest exponent prime factors to calculate the LCM of 95059 and 95070.
LCM(95059,95070) = 231 × 41331 × 21 × 31 × 51 × 31691
LCM(95059,95070) = 9037259130
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